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

`m\angle A = 91^(\circ)`

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

- Kan Academy Advance