Question

Зовнішній кут DAB трикутника ABC дорівнює 110 градусів Знайдіть градусну міру кута C якщо: кут A дорівнює куту B

Answer 1

Кут А = 180-DAB = 180-110=70
кут В = кут А = 70
кут С = 180 - (кут В + кут А) = 180-(70+70)=180-140=40

Answer 2

Finding the Measure of Angle C

To find the measure of angle C in triangle ABC when angle A is equal to angle B, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Given that the external angle DAB is 110 degrees and angle A is equal to angle B, we can proceed with the following steps:

1. Calculate the Measure of Angle A (or Angle B): Since angle A is equal to angle B, we can find the measure of angle A (or B) by dividing the external angle DAB by 2.

The measure of angle A (or B) = 110 degrees / 2 = 55 degrees.

2. Calculate the Measure of Angle C: Now that we have the measure of angle A (or B), we can find the measure of angle C using the fact that the sum of the angles in a triangle is 180 degrees.

The measure of angle C = 180 degrees - (measure of angle A + measure of angle B).

Substituting the values: The measure of angle C = 180 degrees - (55 degrees + 55 degrees) = 180 degrees - 110 degrees = 70 degrees.

Therefore, the measure of angle C in triangle ABC is 70 degrees when angle A is equal to angle B.