Question

Helppppsolve for X and then find the measure of

Answer 1

Here in this question, we are to solve for x and get the measure of Angle A

Mathematically,

∠A = ∠B

The reason for this is because both are corresponding angles and corresponding angles are equal.

Since they are equal in value, we can equate the given expressions for each of the two angles

Thus;

7x + 40 = 3x + 112

Let us collect like terms

7x-3x = 112 - 40

4x = 72

x = 72/4

x = 18

But the question asks to get the value of ∠A

From the questionn, we are told that ∠A = 7x + 40

To get the value of ∠A, we need to substitute x

∠A = 7(18) + 40

∠A = 126 + 40

∠A = 166

∠A = 166 and x = 18