Question

8. The measure of two adjacent angles of a quadrilateral are 85° and 115º and the
other two angles are equal. Find the measure of each of equal angles.

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Answer 1

Step-by-step explanation:

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the angels are 115° &85°

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Answer 2

$\huge\bold{\underline{\red{αηѕωєя}}}$

The measure of each of a quadrilateral are 85°, 80°, 115°, 80°.

$\bold{Given}$

• The measure of adjacant angles are 85° and 115°.
• Other two adjacents angles are equal.
• Let 'x' be the other two adjacent angles.

$\bold{To\:Find}$

• The measure of each of equal angles

$\bold{Solution}$

Sum of angles of a quadrilateral is 360°

Therefore,

85° + 115° + x + x = 360°

2x + 200° = 360°

2x = 360° - 115°

2x = 160°

x = $\frac{160°}{2}$

x = 80°