Find the value of x where the sum of all 4 angles are x, 58• , 80°

1.	Find the value of x where the sum of all 4 angles are x, 58• , 80° and 92°.
Answer» ANSWER: Let the measure of the fourth angle be x°. We know that the SUM of the ANGLES of a quadrilateral is 360°. THEREFORE, 54 + 80 + 116 + x = 360 ⇒ 250 + x = 360 ⇒ x = (360 - 250) = 110. Hence, the measure of the fourth angle is 110°.

Find the value of x where the sum of all 4 angles are x, 58• , 80° and 92°.

Answer»

Let the measure of the fourth angle be x°.

We know that the SUM of the ANGLES of a quadrilateral is 360°.

THEREFORE, 54 + 80 + 116 + x = 360

⇒ 250 + x = 360

⇒ x = (360 - 250) = 110.

Hence, the measure of the fourth angle is 110°.