Question

what is the ratio of these angles if two adjacent angles of a parallelogram are (35 + 10x) and (5x – 5)?

Answer 1

Hey There!!!


____________________________

We know that,

Adjacent angles of a parallelogram are supplementary

Let, /_A = 35+10x

/_D = 5x-5

Hence, /_A + /_D (Adjacent angles, Suppose)
= 180°

Therefore,

(35+10x) + (5x-5) = 180°

35+10x+5x-5 = 180°

30+15x = 180
15x = 180-30
15x = 150

x = 10°

Putting in angles,

/_A = 35+10x
= 35+10×10
= 35+100
= 135°

/_D = 5x-5
= 5×10-5
= 50-5
= 45°

Taking ratios = /_A / /_D = 135°/45°

= 3/1

Therefore ratio of 2 angles is 3:1

Or ratio of D/A = 1/3 = 1:3

______________________________

Thanks!

Hope This Helps!

Have a Great day dear! ✌️

Answer 2

Hey dear !

here is your answer⬆⬆⬆⬆⬆

Hope it will help you.

❤❤❤❤❤❤

☺☺☺☺