Question

ABCD is a parallelogram. If ∠A = (2x + 27)0 and ∠D = (5x + 13)0 then find the measures of ∠B and ∠C​

Answer 1

Step-by-step explanation:

Sum of adjacent angles of a parallelogram is equal to 180° so

<A +<D =180°

(2x+27)°+(5x+13)°=180°

7x+40=180°

7x= 180-40

X =140/7

X=20°

Now,

<A=2x+27=2*20+27=67°

<D=5x+13=5*20+13=113°

As we know opposite angle of a parallelogram is equal so,

<B=<D=113°. &

<C=<A=67°