ABCD is a parallelogram In which angle a=y+25, angle b=x+80, angle d= 3x+10 Find the value of x and - Maths - Quadrilaterals

Question

ABCD is a parallelogram In which angle a=y+25, angle b=x+80, angle
d= 3x+10 Find the value of x and y

Pooja Khanna · Accepted Answer

In a parallelogram, opposite angles are equal
Therefore,
∠A=∠D⇒y+25°=3x+10°⇒3x-y=15°---1Also, sum of consecutive angles is 180°
Therefore,∠B+∠D=180°⇒x+80°+3x+10°=180°⇒4x+90°=180°⇒4x=90°⇒x=22
5°Put x=22 5° in 13x-y=15°⇒322
5°-y=15°⇒67 5°-y=15°⇒y=67
5°-15°⇒y=52 5°

ABCD is a parallelogram.In which angle a=y+25, angle b=x+80, angle d= 3x+10. Find the value of x and y.