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

Sagot :

notleoprobably

Answer:

[tex]m\angle A = 91^{\circ}[/tex]

Step-by-step explanation:

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

We can now solve for [tex]\angle A[/tex] by substituting [tex]\angle B, \angle C, \angle D[/tex] for the correct values.

[tex]\angle A + \angle B + \angle C + \angle D = 360\\\angle A + 72 + 130 + 67 = 360\\\angle A + 269 = 360\\\\\boxed{\angle A = 91^{\circ}}[/tex]

That is the answer

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