Question

If two angels of a triangle measures 45° and 60° find the measure of the third angle​

Answer 1

ANSWER:

• Third angle = 75°

GIVEN:

• Two angles are 45° and 60°

TO FIND:

• Measure of 3rd angle

SOLUTION:

• We know that the sum of all the angles of a triangle is equal to 180°

• By using this property we can find the third angle of the Triangle.

Let ABC be a triangle in which

• Angle (A) = 45°
• Angle (B) = 60°
• Angle (C) = ?

$\implies \angle \: a \: + \angle \: b \: + \angle \: c \: = 180 \degree \\ \\ \implies \: \: 45 \degree + 60 \degree \: + \angle \: c \: = \: 180 \degree \: \\ \\ \implies \: 105 \degree \: + \angle \: c \: = 180\degree \\ \\ \implies \: \angle \: c \: = 180\degree \: - 105\degree \: \\ \\ \implies \: \angle \: c \: = \: 75 \degree \:$

NOTE:

• In a triangle the sum of all the angles is 180.

Answer 2

GIVEN:

Two angles of a triangle are 45° and 60°

TO FIND:

Measure of the third angle of traingle

SOLUTION:

Let the third angle be x°

We know that,

Sum of all angles in a traingle = 180°

According to the problem,

==> x + 45 + 60 = 180°

==> x + 105° = 180°

==> x = 180° - 105°

==> x = 75°

Therefore, the measure of third angle is 75°.