Question

find measure of all the four angle of a quadrilateral if two of them are twice of the third and fourth is 20degree more than the sum of two equal angle​

Answer 1

Step-by-step explanation:

Let x, y,z and w are four angles of quadrilateral.

According to question

x=2z,y=2z

w=(x+y)+20=2z+2z+20=4z+20

x+y+z+w=360^{\circ}

By the property of sum of angles of quadrilateral.

Substitute the values

2z+2z+z+4z+20=360

9z=360-20=340

z=\frac{340}{9}=37.8^{\circ}

z=37.8^{\circ}

x=y=2\times 37.8=75.6^{\circ}

w=4(37.8)+20=171.2^{\circ}