two angle of a quadrilateral are 125° and 93° the other two angles are equal. what is the measure of each of these equal angles?
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Answered by
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Let's assume the other 2 equal ∠s as x°
According to Question,
Sum of all ∠s of Quadrilateral = 360°
125 + 93 + x + x = 360
⇒ 218 + 2x = 360
⇒ 2x = 360 - 218
⇒ 2x = 142
⇒ x = 142 / 2
⇒ x = 71
As, the other 2 equal ∠s measure x°
Hence, the other two equal ∠s are 71°
∴ All the ∠s of the Quadrilateral are
= 125°, 93°, 71° & 71°
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Answered by
0
Answer:
Let's assume the other 2 equal ∠s as x°
According to Question,
Sum of all ∠s of Quadrilateral = 360°
125 + 93 + x + x = 360
⇒ 218 + 2x = 360
⇒ 2x = 360 - 218
⇒ 2x = 142
⇒ x = 142 / 2
⇒ x = 71
As, the other 2 equal ∠s measure x°
Hence, the other two equal ∠s are 71°
∴ All the ∠s of the Quadrilateral are
= 125°, 93°, 71° & 71°
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