Question

The angle marked in the given figure

1300

1100

500

X The sum of the two opposite angles of a quadrilateral is 1760

. The other

two angles of the quadrilateral are equal. Find the equal angles.​

Answer 1

Answer:

Let the measurement of equal angles be x°.

As we know that sum of all the angles of a quadrilateral is 360°.

Given that sum of 2 angles of quadrilatral is 172°.

∴172°+x°+x°=360°

⇒2x°=360°−172°

⇒x°=

2

188°

⇒x°=94°

Hence, the equal angles are of 94° each.