Two angles of a quadrilateral measure 85° and 75° respectively. The other two angles equal. Find the measure of each of these equal angles
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Measure of each of these equal angles is 100°
Step-by-step explanation:
Given :
Two angles of a quadrilateral are 85° and 75°
Let measure of each of the equal angles =x °
As we know that ,
Sum of all the 4 angles of a quadrilateral = 360°
∴ 85° + 75° + x° + x° = 360°
160° + 2x° = 360°
2x° = 360° - 160°
2x° =200°
x° = 200° / 2= 100°
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