If one angle of a triangle is equal to the sum of the other two, then the measure of that angle is ______. Fill in the blanks to make the statement true.

Solution:

Given, if one angle of a triangle is equal to the sum of the other two, then the measure of that angle is ________.

We have to fill in the blanks to make the statement true.

Let the angles be x, y and z.

According to the question,

x = y + z ---------------------------------- (1)

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, x + y + z = 180°

From (1),

x + x = 180°

2x = 180°

x = 180°/2

x = 90°

Therefore, the measure of the angle is 90°.

✦ Try This: The sum of three angles of a triangle is equal to ______. Fill in the blanks to make the statement true

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

NCERT Exemplar Class 7 Maths Chapter 6 Problem 57

If one angle of a triangle is equal to the sum of the other two, then the measure of that angle is ______. Fill in the blanks to make the statement true.

Summary:

If one angle of a triangle is equal to the sum of the other two, then the measure of that angle is 90°.

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