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Find each missing measure.

Find each missing measure.-example-1

2 Answers

5 votes

Answers:

  • Angle E = 37 degrees
  • Angle G = 37 degrees

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Step-by-step explanation:

Angles E and G are congruent base angles of the isosceles triangle. The base angles are opposite the congruent sides EF = FG

Let x be the measure of angle E and angle G.

Adding all three angles of any triangle always gets us 180 degrees.

E+F+G = 180

x+106+x = 180

2x+106 = 180

2x = 180-106

2x = 74

x = 74/2

x = 37

Angles E and G are 37 degrees each

User Jon Abraham
by
5.5k points
6 votes

Answer:

37 degrees for both angles

Step-by-step explanation:

Any triangle is equal to 180 degrees

therefore, 180 - 106 = 74

74 / 2 = 37

I divided by 2 because you need an amount of 2 angles.

Thus, angles m<E and m<G are both equal to 37 degree

To check:

106 + 37 + 37 = 180

Hope this helped! Have a great day or night wherever you are and stay safe!

User Manny Alvarado
by
4.9k points