Question

If AFGH
AQRS, find the measure of Q.

Answer 1

D. 28°

Explanation:

Since ∆FGH is congruent to ∆QRS, it follows that:

`m\angle F = m\angle Q`

Thus:

`2x + 10 = 3x + 1` (Substitution)

Collect like terms

`2x - 3x = -10 + 1`

`-x = -9`

Divide both sides by -1

x = 9

`\angle Q = 3x + 1`

Plug in the value of x

`\angle Q = 3(9) + 1`

`\angle Q = 28 degrees`