Question

The measures of two angles of a triangle are 35° and 45°. what is the measure of the third angle of the triangle?

a. 95°
b. 100°
c. 105°
d. 110°

Answer 1

the angles in a triangle add up to 180 so if we add up 35 and 45 we get 80. subtract 80 from 180 and we are left with 100. So the answer is b

Answer 2

The correct answer is option b.

Explanation:

Given : Two out three angles of the triangle.

∠1 = 35°

∠2 = 45°

To find = Third angle of the triangle = ∠3 = ?

Solution :

∠1 +∠2 + ∠3 = 180° (Angle sum property of the triagkle )

∠3 = 180°-(∠1 +∠2)

∠3 = 180°- 35° - 45° = 100°

Hence, 100° is the measure of the third angle of the triangle.