Question

8:37
Q.9. In a pair of supplementary
angles, the greater angle is 54°
more than the smaller angle.
Find the measure of the angles.
OR
In the given figure, two straight lines AB
and CD intersect at a point 0.
If ZAOC=65º, find the measure of
(a) ZAOD
(b) ZBOD
(c) ZCOB.
(3 Marks)
B
C
O
D
Page 3 of 4​

Answer 1

smaller angle -63, greater Angle- 117

Answer 2

Step-by-step explanation:

Sum of supplementary angles is Equals to 180°.

Let the smaller angle be 'x°'.

Give that greater angle is 54° more than then 'x°'

so,

x°+(x°+54°)=180° [Sum of supplementary angles]

2x°=180°-54°

2x°=126°

x°=(126/2)°

x°=63°