Lines And Angles CBSE Questions & Answers

Lines And Angles

This is Mathematics Class 09 Lines and Angles CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
If two angles are supplementary and the larger is 20\(^0\) less then three times the smaller, then the angles are :-
  • A
    140\(^0\), 40\(^0\)
  • B
    \(62\frac{1}{2}\) \(^0\), \(27\frac{1}{2}\) \(^0\)
  • C
    \(72\frac{1}{2}\) \(^0\), \(17\frac{1}{2}\) \(^0\)
  • D
    130\(^0\), 50\(^0\)
    Correct
2
In the adjoining figure, if DE \(\parallel \) BC, then the values of x and y are :-
Question 2 figure 1
  • A
    x = 25\(^0\), y = 85\(^0\)
  • B
    x = 26\(^0\), y – 138\(^0\)
  • C
    x = 25\(^0\), y = 135\(^0\)
    Correct
  • D
    x = 20\(^0\), y = 120\(^0\)
3
In the adjoining figure, if A = 40\(^0\), B = 95\(^0\) and D = 60\(^0\), then E is equal to :-
Question 3 figure 1
  • A
    65\(^0\)
  • B
    75\(^0\)
    Correct
  • C
    85\(^0\)
  • D
    55\(^0\)
4
In the adjoining figure, the bisectors of \(\angle \)CBD and \(\angle \)BCE meet at the point O. If \(\angle \)BAC = 70\(^0\), then \(\angle \)BOC is equal to :-
Question 4 figure 1
  • A
    11\(^0\)
  • B
    70\(^0\)
  • C
    55\(^0\)
    Correct
  • D
    35\(^0\)
5
In the adjoining figure, BE and CE are bisectors of \(\angle \)ABC and \(\angle \)ACD respectively. If \(\angle \)BEC = 25\(^0\), then \(\angle \)BAC is equal to :-
Question 5 figure 1
  • A
    \(25\frac{1}{2}\) \(^0\)
  • B
    50\(^0\)
    Correct
  • C
    \(12\frac{1}{2}\) \(^0\)
  • D
    65\(^0\)
6
In the given figure AB is a mirror, PQ is the incident ray and QR is the reflected ray. If \(\angle \)PQR = 108\(^0\), then \(\angle \)AQP = ?
Question 6 figure 1
  • A
    36\(^0\)
    Correct
  • B
    18\(^0\)
  • C
    54\(^0\)
  • D
    72\(^0\)
7
In the given figure, AB \(\parallel \) CD and O is a point joined with B and D, as shown in the figure such that \(\angle \)ABO = 35\(^0\) and \(\angle \)CDO = 40\(^0\). Reflex \(\angle \)BOD = ?
Question 7 figure 1
  • A
    265\(^0\)
  • B
    255\(^0\)
  • C
    285\(^0\)
    Correct
  • D
    275\(^0\)
8
In the given figure, AB \(\parallel \) CD. If \(\angle \)BAO = 60\(^0\) and \(\angle \)OCD = 110\(^0\), then \(\angle \)AOC = ?
Question 8 figure 1
  • A
    70\(^0\)
  • B
    40\(^0\)
  • C
    50\(^0\)
    Correct
  • D
    60\(^0\)
9
In the given figure, AB \(\parallel \) CD. If \(\angle \)AOC = 30\(^0\) and \(\angle \)OAB = 100\(^0\). then \(\angle \)OCD = ?
Question 9 figure 1
  • A
    150\(^0\)
  • B
    80\(^0\)
  • C
    130\(^0\)
    Correct
  • D
    100\(^0\)
10
In the given figure, AB \(\parallel \) CD, If \(\angle \)CAB = 80\(^0\) and \(\angle \)EFC = 25\(^0\), then \(\angle \)CEF = ?
Question 10 figure 1
  • A
    45\(^0\)
  • B
    75\(^0\)
  • C
    65\(^0\)
  • D
    55\(^0\)
    Correct
11
In the given figure, AB \(\parallel \) CD, If \(\angle \)APQ = 70\(^0\) and \(\angle \)PRD = 120\(^0\), then \(\angle \)QPR = ?
Question 11 figure 1
  • A
    50\(^0\)
    Correct
  • B
    40\(^0\)
  • C
    35\(^0\)
  • D
    60\(^0\)
12
In the given x = ?
Question 12 figure 1
  • A
    \(\alpha \, + \,\beta \, + \,\gamma \)
    Correct
  • B
    \(\alpha \, + \,\beta \, - \,\gamma \)
  • C
    \(\alpha \, - \,\beta \, - \,\gamma \)
  • D
    \(\alpha \, + \,\gamma \, - \,\beta \)
13
If \(\angle \)A = 4\(\angle \)B = 6\(\angle \)C, then A : B : C + ?
  • A
    it is 2 : 3 : 4
  • B
    it is 6 : 4 : 3
  • C
    it is 4 : 3 : 2
    Correct
  • D
    it is 3 : 4 : 6
14
Side BC of \(\Delta\)ABC has been produced to D on left hand side and to E on right hand side such that \(\angle \)ABD = 125\(^0\) and \(\angle \)ACE = 130\(^0\) . Then \(\angle \)A = ?
Question 14 figure 1
  • A
    55\(^0\)
  • B
    65\(^0\)
  • C
    75\(^0\)
    Correct
  • D
    50\(^0\)
15
In the given figure, \(\angle \)BAC = 30\(^0\), \(\angle \)ABC = 50\(^0\) and \(\angle \)CDE = 40\(^0\). Then \(\angle \)AED = ?
Question 15 figure 1
  • A
    100\(^0\)
  • B
    110\(^0\)
  • C
    120\(^0\)
    Correct
  • D
    80\(^0\)