In a right-angled triangle if an angle measures 35°, then find the measure of the third angle.

Solution:

Given, a right angled triangle measure of an angle measures 35°.

We have to find the measure of the third angle.

A right angle is an angle that measures 90 degrees.

A right angled triangle is a triangle with one of the angles as 90 degrees.

Consider a right angled triangle ABC,

According to the question,

∠B = 90° and ∠C = 35°

Angle sum property of a triangle states that the sum of all three interior angles of a triangle is always equal to 180 degrees.

By angle sum property,

∠A + ∠B + ∠C = 180°

∠A + 90° + 35° = 180°

∠A + 125° = 180°

∠A = 180° - 125°

∠A = 55°

Therefore, the measure of ∠A is 55°.

✦ Try This: In a right-angled triangle if an angle measures 45°, then find the measure of the third angle

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 120

In a right-angled triangle if an angle measures 35°, then find the measure of the third angle.

Summary:

In a right-angled triangle if an angle measures 35°, then the measure of the third angle is 55°.

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