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In ΔGHI, \text{m}\angle G = (8x+14)^{\circ}m∠G=(8x+14)
∘
, \text{m}\angle H = (3x-6)^{\circ}m∠H=(3x−6)
∘
, and \text{m}\angle I = (x+16)^{\circ}m∠I=(x+16)
∘
. Find \text{m}\angle G.m∠G.

Respuesta :

Answer:16

Step-by-step explanation:

abidemiokin

The measure of the angle m<G is 118 degrees

The sum of an interior angle of a triangle is 180 degrees

Given the following angles of a triangle:

m∠G=(8x+14)

m∠H=(3x-6)

m∠I=(x+16)

Since the sum of angle is 180 degrees, hence;

m∠G + m∠H + m∠I = 180

8x + 14 + 3x - 6 + x + 16 = 180

12x + 24 = 180

12x = 180 - 24

12x = 156

x = 156/12

x = 13

Get the measure of angle m<G

m<G = 8x + 14

m<G = 8(13) + 14

m<G = 104 + 14

m<G = 118 degrees

Hence the measure of the angle m<G is 118 degrees

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