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kvasek [131]
3 years ago
15

Please use the image below in order to find out the answer to the following question:

Mathematics
1 answer:
vesna_86 [32]3 years ago
7 0

<u>Given</u>:

The measure of ∠EGF is 51°

We need to determine the measure of ∠EHF

<u>Measure of ∠EHF:</u>

By inscribed angle theorem, we know that, "if two inscribed angles of a circle intercept the same arc then the angles are congruent".

Applying the theorem, we have that the two inscribed angles of a circle intercepting the same arc are ∠G and ∠H

Then, the two angles are congruent.

Thus, we have;

∠G ≅ ∠H

Therefore, the measure of ∠G = ∠H = 51°

Hence, the measure of ∠EHF = 51°

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