Question

In an isosceles triangle, the measured of the third angle us 46. Which equation can be used to find x, the measure of each angle

Answer 1

`\huge{\boxed{46 \text{ or } 67 \text{ or } 88 \text{ degrees}}}`

Explanation:

An isosceles triangle is a triangle in which two of the sides and angles are equal. Because the sum of all of the angles in a triangle is 180°, you may setup the following equation.

46 + x + z = 180°

Depending on the following scenario, your answer may be one of two options. If the "third angle" refers to the angle that is not at the base of the triangle, then your equation is as follows:

z = x

46 + x + x = 180

46 + 2x = 180

2x = 134

x = 67

If the third angle is one of the base angles and x is a base angle, then x is also 46, because base angles are equal.

If the third angle is one of the base angles and x is the third angle, then your equation is as follows:

z = 46

46 + 46 + x = 180

92 + x = 180

x = 88

Hope it helps :) and let me know if you want me to elaborate.