Question

How do I solve number 29

Answer 1

x = 51°

Explanation:

Sum of all the angles of a triangle = 180°

`$ \angle{BCA} = 180^(\circ) - (3x - 22)^(\circ) $`

Since, the measure of angle on a straight line is 180°.

Now, since sum of all angles of a triangle is 180°, we have:

`$ \angle{A} + \angle{B} + \angle{C} = 180^(\circ) $`

Substituting the corresponding values, we get:

`$ 80^(\circ) + x + 180^(\circ) - 3x + 22 = 180^(\circ) $`

`$ \implies 102 - 2x = 0 $`

`$ \implies x = 51^(\circ) $`

Therefore, ∠A = 51°