82.0k views
3 votes
A triangle has two angles measuring 42 and 73 calculate the third angle of the triangle

2 Answers

5 votes
third angle of the triangle = 180 - 42 - 73 = 65

answer
third angle of the triangle = 65 degree
User InterstellarX
by
5.5k points
1 vote

Answer:

The measure of third angle of the triangle is 65°

Explanation:

Measure of one angle of the triangle is given to be 42

Measure of second angle of the triangle is given to be 73

Let the measure of the third angle of the triangle be x

Now, By using the angles sum property of a triangle, We have :

Sum of all the three angles of a triangle is always supplementary

⇒ ∠1 + ∠2 + ∠3 = 180°

⇒ 42° + 73° + ∠3 = 180°

⇒ 115° + ∠3 = 180°

⇒ ∠3 = 180° - 115°

⇒ ∠3 = 65°

Hence, The measure of third angle of the triangle is 65°

User Weehooey
by
5.7k points