Question

S5. In a pair of angles, the measure of one of the vertically opposite angles is 45° less than four times the measure of the other angle. Find the measure of both the angles.​

Answer 1

Answer:

x= 9

9 = 9

Step-by-step explanation:

Vertically opposite angles are equal, by property.

Let the two angles be x and y.

We can form two equations.

= x = y ---- 1

= x = 45 - 4 y---- 2

Substitute 1 in 2.

= x = 45 - 4 x

= 5 x = 45

= x = 9.

Hence, y is also = 9.