Question

It's too short. Write at least 20 characters to get a great answer.It's too short. Write at least 20 characters to get a great answer.

Answer 1

143°

Explanation:

We know that the two lines are parallel, which means that since ∠A and ∠B are same-side angles, they are equal. That means we can set the expressions equal:

7x + 24 = 3x + 92

4x = 68

x = 17

Plug this into the expression for A:

∠A = 7x + 24 = 7 * 17 + 24 = 143

The answer is 143°.

Answer 2

Since both lines are parallel, both equations are equal.

7x + 24 = 3x + 92

Solve for x.

~Subtract 24 to both sides

7x + 24 - 24 = 3x + 92 - 24

~Simplify

7x = 3x + 68

~Subtract 3x to both sides

7x - 3x = 3x - 3x + 68

~Simplify

4x = 68

~Divide 4 to both sides

4x/4 = 68/4

~Simplify

x = 17

Substitute 17 with x in ∠A

∠A = 7x + 24

∠A = 7(17) + 24

∠A = 119 + 24

∠A = 143

Best of Luck!