Question

Three angles of quadrilateral are 75°, 90°, 75°. Find the fourth angle.​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

$\huge \bf \underline{ \underline{\bigstar Solution }}$

Given, ∠A = 75°

∠B = 90°

∠C = 75°

We know that, sum of all the angles of a quadrilateral triangle is 360°.

⇨∠A + ∠B + ∠C + ∠D = 360°

75° + 90° + 75° + ∠D = 360°

⇨∠D = 360° - (75° + 90° + 75°)

= 360° - 240° = 120°

∴ Hence, The fourth angle of a quadrilateral is 120°.