Question

quadrilateral ABCD with angle B of 72 degree, angle C of 130 degrees, angle D of 67 degrees What is the measure of ∠A?

Answer 1

Answer:

$m\angle A = 91^{\circ}$

Step-by-step explanation:

All angles in a quadrilateral must add up to $360^{\circ}$, so $\angle A + \angle B + \angle C + \angle D = 360^{\circ}$

We can now solve for $\angle A$ by substituting $\angle B, \angle C, \angle D$ for the correct values.

$\angle A + \angle B + \angle C + \angle D = 360\\\angle A + 72 + 130 + 67 = 360\\\angle A + 269 = 360\\\\\boxed{\angle A = 91^{\circ}}$

That is the answer

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