Question

If the measures of two angles of a triangle are 52º and 789, find the measure of the third angle.
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Answer 1

Appropriate Question :

If the measures of two angles of a triangle are 52° and 78°, find the measure of the third angle.

Answer :

›»› The third angle of a triangle is 50°.

Step-by-step explanation :

Given :

• The measure of two angle of a triangle = 52° and 78°.

To Find :

• The third angle of a triangle = ?

Knowledge required :

The sum of all three angles of a triangle is 180°.

This statement is known as angle sum property of triangle.

Solution :

Let us assume that, the third angle of a triangle is "x".

As we know that

The sum of all three angles of a triangle is 180°.

→ 52 + 78 + x = 180

→ 130 + x = 180

→ x = 180 - 130

→ x = 50.

Hence, the third angle of a triangle is 50°.

Verification :

The sum of all three angles of a triangle is 180°.

→ 52 + 78 + 50 = 180

→ 130 + 50 = 180

→ 180 = 180

Clearly, LHS = RHS.

Here both the conditions satisfy, so our answer is correct.

Hence Verified !

Answer 2

Answer:

Correct Question :-

• If the measure of two angles of a triangle are 52° and 78°. Find the measure of the third angle.

Given :-

• The measure of two a angles of a triangle are 52° and 78°.

To Find :-

• What is measure of the third angle.

Solution :-

Let, the third angle be x

We know that,

★ Sum of three angle of a triangle = 180° ★

According to the question by using the formula we get,

⇒ 52° + 78° + x = 180°

⇒ 130° + x = 180°

⇒ x = 180° - 130°

➠ x = 50°

∴ The measure of the third angle is 50° .

Let's Verify :-

↦ 52° + 78° + x = 180°

Put x = 50° we get,

↦ 52° + 78° + 50° = 180°

↦ 130° + 50° = 180°

➠ 180° = 180°

➦ LHS = RHS

Hence, Verified ✔