Question

A triangle has two angles measuring 90° and 50%, calculate the third angle of the triangle,

a 50
C 45
b. 40
d 75
Please select the best answer from the choices provided
OOOO

Answer 1

The answer is 40


the measure of third angle of the triangle is 40°
Explanation:
given : measure of two angles of a triangle as 90° and 50°
we have to find the measure of the third angle of the triangle.
angle sum property of a triangle states that the sum of angles of a triangle is always 180°
let for the given triangle abc,
with m∠a = 90° and m∠b = 50°
then according to angle sum property stated above,
∠a + ∠b + ∠c = 180°
90° + 50° + ∠c = 180°
140° + ∠c = 180°
∠c = 180° - 140°
simplify, we get,
∠c = 40°
thus, the measure of third angle of the triangle is 40°

Answer 2

B. Because since all angles are equal to 180 you have to do 180-90-50 which equals 40