In a right-angled triangle, the angles other than the right angle are
a. obtuse
b. right
c. acute
d. straight

Solution:

Given, a triangle is a right angled triangle.

We have to determine the type of the other two angles.

Consider a triangle ABC right angled at B.

By angle sum property of a triangle,

We know that the sum of all the three interior angles of the triangle is equal to 180 degrees

So, ∠A + ∠B + ∠C = 180°

∠A + 90 + ∠C = 180°

∠A + ∠C = 180° - 90°

∠A + ∠C = 90°

An acute angle is defined as an angle that measures less than 90 degrees i.e. measure between 0° to 90°.

Since ∠A + ∠C = 90°, the angles are acute.

Therefore, the required angles are acute angles.

✦ Try This: Can a triangle have two right angles. Justify your answer

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

NCERT Exemplar Class 7 Maths Chapter 6 Problem 4

In a right-angled triangle, the angles other than the right angle are: a. Obtuse, b. Right, c. acute, d. straight

Summary:

In a right-angled triangle, the angles other than the right angle are acute

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