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help, please !!
triangle FGH is inscribed in the circle above. If FG is congruent to GH and the measure of G is 30 what is the measure of H

help please triangle FGH is inscribed in the circle above If FG is congruent to GH and the measure of G is 30 what is the measure of H class=

Respuesta :

akposevictor

Applying the inscribed angle theorem, the measure of ∠H is: C. 75°

Recall:

  • Based on the inscribed angles theorem, the measure of an inscribed angle = half of the measure of the intercepted arc.

Since arc GH is congruent to arc FG, therefore:

m∠F = m∠H

Thus:

m∠H = 1/2(180 - m∠G)

  • Substitute

m∠H = 1/2(180 - 30)

m∠H = 1/2(150)

m∠H = 75°

Therefore, applying the inscribed angle theorem, the measure of ∠H is: C. 75°

Learn more about inscribed angle theorem on:

https://brainly.com/question/16370160

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