Question

In triangle ABC, angle C is a right angle and angle A is 70 degrees. The hypotenuse is 46. What is the measure of angle B?

1) 20 degrees
2) 30 degrees
3) 40 degrees
4) 50 degrees

Answer 1

The measure of angle B in triangle ABC, where angle A is 70 degrees and angle C is a right angle, is 20 degrees, calculated by subtracting the sum of angles A and C from the total sum of angles in a triangle which is 180 degrees.

Step-by-step explanation:

To find the measure of angle B in triangle ABC, where angle C is a right angle and angle A is 70 degrees, we use the fact that the sum of the angles in a triangle is always 180 degrees. Since angle C is 90 degrees (right angle) and angle A is 70 degrees, we can find angle B by subtracting the sum of angles A and C from 180 degrees:

Angle B = 180° - (Angle A + Angle C)
= 180° - (70° + 90°)
= 180° - 160°
= 20 degrees.

Therefore, the measure of angle B is 20 degrees.