heyshinique
heyshinique heyshinique
  • 01-12-2020
  • Mathematics
contestada

If AFGH
AQRS, find the measure of Q.

If AFGH AQRS find the measure of Q class=

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akposevictor
akposevictor akposevictor
  • 09-12-2020

Answer:

D. 28°

Step-by-step explanation:

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

[tex] m\angle F = m\angle Q [/tex]

Thus:

[tex] 2x + 10 = 3x + 1 [/tex] (Substitution)

Collect like terms

[tex] 2x - 3x = -10 + 1 [/tex]

[tex] -x = -9 [/tex]

Divide both sides by -1

x = 9

[tex] \angle Q = 3x + 1 [/tex]

Plug in the value of x

[tex] \angle Q = 3(9) + 1 [/tex]

[tex] \angle Q = 28 degrees [/tex]

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