Question

Given the information about angles in isosceles triangle EFG, what is the measure of angle F in terms of x?

A. 3x - 35
B. 7x - 40
C. 12x - 40
D. 15x - 78

Answer 1

The measure of angle F in terms of x is 180 - 2x.

Step-by-step explanation:

To find the measure of angle F in terms of x, we can use the fact that the sum of the angles in a triangle is 180 degrees. Since angles E and G are congruent in an isosceles triangle, we can set up the following equation:

E + F + G = 180

Plugging in the given values, we have:

x + F + x = 180

Combining like terms, we get:

2x + F = 180

To solve for F, we subtract 2x from both sides of the equation:

F = 180 - 2x

Therefore, the measure of angle F in terms of x is 180 - 2x.