Question

What is the measure of egf

A.40
B.55
C.65
D.80

Answer 1

Explanation:

65° because the triangle formed is isosceles and the angles G and E are the same.

Answer 2

Answer: C. 65

Explanation:

Concept:

Here, we need to know the concept of an isosceles triangle.

An isosceles triangle is a triangle that has any two of its sides equal to each other. The corresponding angles of the equal sides are also equal.

If you are still confused, you may refer to the attachment below for a graphical explanation.

Solve:

Let x be m∠EGF

2x + 50 = 180 ⇒ Write the equation

2x + 50 - 50 = 180 - 50 ⇒ Subtract 50 on both sides

2x = 130 ⇒ Simplify

2x / 2 = 130 / 2 ⇒ Divide 2 on both sides

x = 65 ⇒ Simplify

Hope this helps!! :)

Please let me know if you have any questions