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zmey [24]
3 years ago
11

Use the figure below and determine the angle measures. what is the measure of angle G?

Mathematics
1 answer:
bogdanovich [222]3 years ago
8 0

Answer:

45

Step-by-step explanation:

<u>First we want to understand the Base Angles Theorem</u>

The Base Angles Theorem tells us that the base angles or the two bottom angles of an isosceles triangle are congruent.

Using this theorem, we can say that angle A and angle G are congruent meaning m∠A = m∠G. We can then write both of them as x.

We can create the equation ∠N + ∠A + ∠G = 180 degrees.

Knowing ∠N and knowing ∠A + ∠G = 2x, we can rewrite the equation into

<em>90 + 2x = 180</em>

We can then solve for x,

<em>90 + 2x - 90 = 180 - 90</em>

<em>2x = 90</em>

<em>2x / 2 = 90 / 2</em>

<em>x = 45 </em>degrees

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