Question

two angles of a triangle measure 35degree and 55degree respectively. find the measure of third angle. also statewhat type of a triangle is it.
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Answer 1

Answer:

given : one angle of triangle = 35⁰

other angle of triangle = 55⁰

to find : ( i ) measure of third angle...

( ii ) type of triangle...

Step-by-step explanation:

Let the triangle be ABC with angle A = 35⁰ & angle B =55⁰

( i )

In triangle ABC ,

A + B + C = 180⁰ (angle sum property)

=> 35⁰ + 55⁰ +C = 180⁰

=> 90⁰ + C. = 180⁰

=> C. = 180⁰ - 90⁰

=> C. = 90⁰

therefore,

measure of angle C is 90⁰

( ii ) Triangle ABC is a right-angled Triangle

I hope it will help you my frnd...

Answer 2

Answer :

›»› The measure of third angle is 90°, and this is a right angle triangle.

Given :

• Two angles of a triangle measure 35° and 55° respectively.

To Find :

• The measure of third angle of a 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°.

→ 35 + 55 + x = 180

→ 90 + x = 180

→ x + 90 = 180

→ x = 180 - 90

→ x = 90

The measure of all angles is 35°, 55°, 90°.

Here, one angle is 90°. We know that in right angle triangle one angle is also 90°. So, this is a right angle triangle.

Hence, the third angle of a triangle is 90°, and this is a right angle triangle.

Verification :

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

→ 35 + 55 + 90 = 180

→ 90 + 90 = 180

→ 180 = 180

Here, LHS = RHS

Hence Verified !