I have three sides. One of my angles measures 15°. Another has a measure of 60°. What kind of a polygon am I? If I am a triangle, then what kind of triangle am I?

Solution:

Given, a polygon with three sides is a triangle.

One of the angles measure 15°

Another angle measures 60°

We have to find the type of triangle.

Consider a triangle ABC,

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 + 15° + 60° = 180°

∠A + 75° = 180°

∠A = 180° - 75°

∠A = 105°

An obtuse angle is defined as an angle that is greater than 90° and less than 180° i.e 90° to 180°.

Since 105 degrees is greater than 90 degrees, angle A is an obtuse angle.

Therefore, the given triangle is an obtuse angled triangle.

✦ Try This: I have three sides. One of my angles measures 25°. Another has a measure of 90°. What kind of a polygon am I? If I am a triangle, then what kind of triangle am I?

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

NCERT Exemplar Class 7 Maths Chapter 6 Problem 112

I have three sides. One of my angles measures 15°. Another has a measure of 60°. What kind of a polygon am I? If I am a triangle, then what kind of triangle am I?

Summary:

I have three sides. One of my angles measures 15°. Another has a measure of 60°. What kind of a polygon am I? If I am a triangle, then I am an obtuse angled triangle.

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