WORKSHEET ON WORD PROBLEMS ON ANGLES OF TRIANGLE

Problem 1 :

In the accompanying diagram of triangle BCD, triangle ABC is an equilateral triangle and AD = AB. What is the value of x, in degrees?

Solution

Problem 2 :

The measure of the vertex angle of an isosceles triangle is 15 more than the measure of each base angle. Find the  degrees in each angle of the triangle.

Solution

Problem 3 :

The measure of each base angle of an isosceles triangle is seven times the measure of the vertex angle. Find the measure of each angle.

Solution

Problem 4 :

The measure of each of the congruent angles of an isosceles triangle is 9 degree less than 4 times the vertex angle. Find the measure of each angle of the triangle.

Solution

Problem 5 :

If

∠1 = 4x - 3y

∠2 = 3x - 5y

∠3 = 204 - 15x + 16y and ∠4 = 6x - 18

Find x and y.

Solution

Problem 6 :

In the figure, triangle ABC is ≅ triangle FDE

i) Find the value of x 

ii) Find the value of y.

Solution

Problem 7 :

In a triangle the measure of the second angle is 3 times the measure of the first angle, and the measure of the third angle is 5 times the measure of the first angle. Find the measure of each angle.

Solution

Problem 8 :

In a right triangle ABC, angle A and angle B are acute angles, the measure of ∠B is 24 less than the measure of ∠A. Find ∠A and ∠B.

Solution