In triangle FGH, the measure of angle F is twice as large as the measure of angle G and the measure of angle G is 3 times the measure of angle H. Find the measure of angle G

Question

Mathematics

Johanna Bailey

24 December, 00:22

In triangle FGH, the measure of angle F is twice as large as the measure of angle G and the measure of angle G is 3 times the measure of angle H. Find the measure of angle G

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Answers (1)

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Alonso Valentine · Answer 1

A triangle is 180 degrees

H = x G = 3x F = 6x

H+G+F = 10x

10x = 180 degrees x=18

angle G = 54 degrees

when you check 18 + 18 (3) + 18 (6) you get 180 degrees