Two angles of a quadrilateral are 75° and 115°.The otger two angles are equal.Find the measure of each equal angle.
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Let the equal angles be x.
The sum of all the angles of the quadrilateral;
115+ 75⁺ x⁺ x= 360
190⁺ 2x= 360
2x= 360- 190
x= 170/2
x= 85
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Answer:
Two angle = 75 and 115 (given)
The other two angles are equal. (Given)
The quadrilateral has 4 angle.
According to the angle sum property,
1st + 2nd + 3rd + 4th = 360
Let us take the one unknown angle as x. As 2 of the angles are equal, both the angle will be 2x.(or u can take x+x).
Atq,
75 + 115 + 2x = 360
190+2x = 360
2x=170
X=85
As one angle is equal to the other, another angle will also be 85.
So all the angles are -85°,115°,85°,75°
(Plz mark it as the brainliest)
Step-by-step explanation:
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