Question

8. One of the acute angle of a right angled triangle is 67º. Find the measure of the other
acute angle

Answer 1

Answer :-

• The measure of other acute angle of right angled triangle is 23°

Step-by-step explanation:

To Find :-

• The measure of other acute angle of right-angled triangle

Solution:

Given that,

• The traingle is a right-angled triangle.
• One of the acute angle is 67°

Assumption:

• Let us assume the other angle as (x)°

As we know that,

• Sum of all Interior angles of traingle = 180°

Therefore,

• 90° + 67° + x° = 180°

By evaluating,

=> 90 + 67 + x = 180

=> 157 + x = 180

=> x = 180 - 157

=> x = 23

Hence, The measure of other acute angle is 23°.

Answer 2

Given :

• Shape of Triangle = Right Angled Triangle
• One Acute angle of Triangle = 67°

To Find :

• The Measure of the Other acute angle

Solution :

✰ In a Right Angled Triangle, One angle is 90° and other two are acute angles. In this question one acute angle is given and we have to find the other acute angle. So for finding the other acute angle we will apply Angle Sum Property of Triangle that is Sum of all the angles of a Triangle equals to 180°

⠀

Using Angle Sum Property :

⟾ 90 + 67 + x = 180

⟾ 157 + x = 180

⟾ x = 180 - 157

⟾ x = 23°

Thus Other Acute angle of Triangle is 23°

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