Math Problem Statement

If the two angles of a triangle are equal, what will be the measure of the third angle?

Solution

The image you have provided contains a math problem in Gujarati. The question translates to:

"If the two angles of a triangle are equal, what will be the measure of the third angle?"

Options:

  • A) 30°
  • B) 45°
  • C) 60°
  • D) 50°

Solution:

For an isosceles triangle (where two angles are equal), the sum of all angles in any triangle is always 180°. Let the two equal angles be xx. The equation will be:

x+x+third angle=180x + x + \text{third angle} = 180^\circ

This simplifies to:

2x+third angle=1802x + \text{third angle} = 180^\circ

So, the third angle will be:

third angle=1802x\text{third angle} = 180^\circ - 2x

We need to find the correct third angle from the options provided.

If we take x=60x = 60^\circ, then:

third angle=1802×60=180120=60\text{third angle} = 180^\circ - 2 \times 60^\circ = 180^\circ - 120^\circ = 60^\circ

So, the correct answer is C) 60°.

Would you like further details or explanations?

Relative Questions:

  1. What is the sum of the internal angles of any polygon with nn sides?
  2. How would you find the third angle if one of the angles in a triangle is known?
  3. Can an isosceles triangle ever have a right angle?
  4. How does the exterior angle of a triangle relate to its interior angles?
  5. What are the properties of equilateral triangles?

Tip:

Always remember that the sum of the internal angles of any triangle is 180°, and this property is very useful in solving various types of triangle problems.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Triangle Properties
Isosceles Triangles

Formulas

Sum of angles in a triangle = 180°
Third angle = 180° - 2x

Theorems

Sum of angles in a triangle

Suitable Grade Level

Grades 7-9