Question

two angles of a quadrilateral are 116°and 84° and the remaining two angles are equal. what is the measure of each of the equal angles.​

Answer 1

Answer :-

• 80° is the required answer

Explanation:-

According to the Question

It is given that

Two angles are 116° & 84° .

Another two angles are equal .

So, Let the another two angles be x

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

Substitute the value we get

→ 116° + 84° + x + x = 360°

→ 200° + 2x = 360°

→ 2x = 360° - 200°

→ 2x = 160°

→ x = 160°/2

→ x = 80°

• Hence, the measures of each of the equal angles are 80° respectively.

Answer 2

Question-

If two angles of a quadrilateral are 116°and 84° and the remaining two angles are equal. What is the measure of each of the equal angles?

Answer-

80° is the measure of both the angle

Explanation-

According to the question, there are two angles whose measure are 116°and 84°.

Hence measure of the sum of rest to angle= 360° - (116° + 84°) = 160°

Because both the angles are the same, so each angle = half of 160° = 80°

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