Question

In triangle ABC, AB is equal to CA, and the measure of angle A equals 110°. Find the measure of angle C.

A) 35°
B) 70°
C) 110°
D) 145°

Answer 1

To find the measure of angle C in an isosceles triangle with angle A measuring 110°, subtract 110° from the total angle sum of 180°, then divide by 2 since the other two angles are equal, resulting in 35° for angle C.

Step-by-step explanation:

In triangle ABC, we are told that AB is equal to CA, indicating that it is an isosceles triangle. Since angle A is given as 110° and the sum of angles in any triangle must equal 180°, we can find the measure of angle C using the following steps:

1. Subtract the measure of angle A from the total angle sum of the triangle: 180° - 110° = 70°.
2. Divide the remaining degrees by 2 to get the measure of the other two angles, which are equal in an isosceles triangle: 70° / 2 = 35°.
3. Since angles B and C are the same, the measure of angle C is 35°.

The correct answer to the question is A) 35°.