Question

three angles of a quadrilateral are equal. if the fourth angle is 105°, find the magnitude of each of the equal angles.​

Answer 1

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Let the equal angles be x,

$x + x + x + 105 = 360 \\ 3x = 255 \\ x \frac{255}{3} \\ x = 85$

other angles are

85°

Answer 2

Let the three angles be x

We already know that sum of all angles of quadrilateral is 360.

x + x + x + 105° = 360

3x + 105° = 360°

3x = 360° - 105°°

3x = 255°

x = $\dfrac{255}{3}$

x = 85°

Hence, the measure of three angles is 85°.

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