Question

4. Two equal angles of a triangle are 48° each. Find the third angle​

Answer 1

Question:-

Two equal angles of a triangle are 48° each. Find the third angle

Answer:-

• The third angle of triangle is 84°.

To find:-

• Third angle of triangle

Solution:-

• Two equal angles = 48°
• Third angle = x

As we know,

• Sum of all angles of triangle = 180°

According to question,

$\large{ \tt : \implies \: \: \: \: \: 48 \degree + 48 \degree + x = 180 \degree}$

$\large{ \tt : \implies \: \: \: \: \: 96 \degree + x = 180 \degree}$

$\large{ \tt : \implies \: \: \: \: \: x = 180 \degree - 96 \degree}$

$\large{ \tt : \implies \: \: \: \: \: x = 84 \degree}$

• The third angle of triangle is 84°.

Answer 2

Answer :

• Measure of third angle is 84°.

Given :

• Two equal angles of a triangle are 48° each.

To Find :

• Measure of third angle of the triangle.

Solution :

Let

• Measure of the third angle be x

Here

• Measure of two equal angles are 48°.

As we know that

• Sum of all angles of a triangle is 180°.

According to question :

→ 48° + 48° + x = 180°

→ 96° + x = 180°

→ x = 180° - 96°

→ x = 84°

Measure of third angle is 84°.

Verification :

→ 48° + 48° + x = 180°

→ 48° + 48° + 84° = 180°

→ 96° + 84° = 180°

→ 180° = 180°

Hence, verified !