Question

The measures of three angles of a quadrilateral are 39°,141° and 80°. Find the fourth angle.​

Answer 1

Answer:

Given :-

• The measure of three angles of a quadrilateral are 39°, 141° and 80°.

To Find :-

• What is the fourth angles of quadrilateral.

Solution :-

Let,

➲ Fourth Angle Of Quadrilateral = x

As we know that :

✧ Sum Of All Angles Of Quadrilateral = 360° ✧

According to the question by using the formula we get,

⇒ 39° + 141° + 80° + x = 360°

⇒ 180° + 80 = 360°

⇒ 260° + x = 360°

⇒ x = 360° - 260°

➦ x = 100°

∴ The fourth angles of a quadrilateral is 100°.

★ VERIFICATION ★

↦ 39° + 141° + 80° + x = 360°

By putting x = 100° we get,

↦ 180° + 80° + 100° = 360°

↦ 180° + 180° = 360°

➠ 360° = 360°

Hence, Verified.