Question

the measure of two corresponding angle of a triangle is 30° and 40° then find the measure of third angle​

Answer 1

Answer:

The third angle of triangle = 110°

Step-by-step explanation:

Given :

Two angles of a triangle :-

First angle = 30°

Second angle = 40°

To find :

The measure of the third angle of triangle

Solution :

Let,

The third angle of triangle = x

Using formula,

Sum of interior angles of polygon = (2n - 4) × 90°

where,

n = number of sides

Triangle has 3 sides, 3 angles.

⇒ Number of sides (n) = 3

Substituting the given values :

⇒ 30° + 40° + x = (2 × 3 - 4) × 90°

⇒ 70° + x = (6 - 4) × 90°

⇒ 70° + x = 2 × 90°

⇒ 70° + x = 180°

⇒ x = 180° - 70°

⇒ x = 110°

Therefore, the third angle of triangle = x = 110°

Answer 2

Answer:

30°+40°+x= 180°

70°+x= 180°

x= 180°-70°

x= 110°

third angle is 110°

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