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.
Answers
Answered by
97
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.
Answered by
111
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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