Question

The measure of two angles of triangle are 60 degree and 54 degree. Find the measure of third angle​

Answer 1

Answer:

66°

Step-by-step explanation:

Given that the measure of two angles of triangle are 60° and 54°.

We need to find the third angel.

Let say first angel is x i.e. 60° and second angle is y i.e. 54° and third and is z which we need to find out.

We know that sum of all angles of triangle is 180°.

Which means /_x + /_ y + /_z = 180°

Now put the value of x and y,

→ 60° + 54° + /_z = 180°

→ 114° + /_z = 180°

→ /_z = 180° - 114°

→ /_z = 66°

Hence, the value of third angel of the triangle is 66°.

VERIFICATION:

/_x + /_y + /_z = 180°

Substitute the values above

60° + 54° + 66° = 180°

We get

180° = 180°