Question

22. The measurement of the third angle of the triangle given two angles are 80*, 22*
a) 258*
b) 129*
c) 32*
d) 78*

Can someone please explain how to find the answer.

Answer 1

Answer:

Given :-

• The two angles of a triangle is 80° and 22°.

To Find :-

• What is the third angles of a triangle.

Solution :-

Let, the third angles of a triangle be x

Then, as we know that :

➲ Sum of all interior angle of a triangle = 180°

According to the question by using the formula we get,

↦ x + 80° + 22° = 180°

↦ x + 102° = 180°

↦ x = 180° - 102°

➠ x = 78°

∴ The third angles of a triangle is 78°.

Hence, the correct options is option no (d) 78° .

VERIFICATION :-

↦ x + 80° + 22° = 180°

By putting x = 78° we get,

↦ 78° + 80° + 22° = 180°

↦ 78° + 102° = 180°

➠ 180° = 180°

Hence, Verified .

Answer 2

Answer :-

• The third angle of the triangle is 78° means option d is the answer.

To find :-

• Third angel of the triangle.

Given :-

• 1st Angel - 80°
• 2nd Angel - 22°

Solution :-

• Let the third angel be ' T '

As we know that the sum of interior angle of a triangle is 180°

$\sf{ \longmapsto \: t \: + \: 80° \: + \: 22° \: = \: 180°}$

$\sf{ \longmapsto \: t \: + \: 102° \: = \: 180°}$

$\sf{ \longmapsto \: t \: = \: 180° \: - \: 102°}$

$\sf{ \longmapsto \: t \: = \: 78°}$

• Third angle = T = 78°

• Therefore the third angle of the triangle is 78°