SUM OF INTERIOR ANGLES OF TRIANGLE WORKSHEET

Find the value of ‘’x’’.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

A triangle whose one angle is more than 90˚ is called ------------

Solution

Problem 9 :

A triangle whose all the sides are of different length is called ------------

Solution

Problem 10 :

The sum of the lengths of the sides of a triangle is called its ---------

Solution

Problem 11 :

The sum of the lengths of two sides of a triangle is always ------------than the third side.

Solution

Problem 12 :

An exterior angle and the adjacent interior angle form a ------------.

Solution

Problem 13 :

The sum of all the angles of a triangle is ----------

Solution

Problem 14 :

In a right angled triangle the side opposite to the right angle is called -----------

Solution

Problem 15 :

A triangle can not have more than one -------- angle

Solution

Problem 16 :

Find the value of x in given figure.

(a) 180°      (b) 55°       (c) 90°     (d) 60°

Solution

Problem 17 :

An airplane leaves from Miami and travels around the Bermuda Triangle. What is the value of x?

a) 26.8      b) 27.2      c) 54      d) 64

Solution

Find the values of the variables :

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Two angles of a triangle have equal measures, but the third angle's measure is 36° less than the sum of the other two. Find the measure of each angle of the triangle

Solution

Problem 8 :

Find the measures of the angles of an isosceles triangle if the measure of the vertex angle is 40 degrees less than the sum of the measures of the base angles.

Solution

Problem 9 :

In a triangle ABC, ∠A = 2x + 7, ∠B = 5x - 15, and ∠C = 6x. What is the value of x and what are the measures of angles A, B, and C?

Solution

Problem 10 :

In a triangle XYZ, ∠X = 37°, ∠Y = 45°, and ∠Z = 3x + 6. What is the value of x and what is the measure of ∠Z?

Solution

Problem 11 :

Find the angle measures of a triangle if the second angle measures 10 degrees less than twice the first, and the third angle measures 25 degrees more than the second.

Solution

The variable expression represent the angle measures of a triangle. Find the measures of each angle. Then classify the triangle by its angles.

Problem 1 :

∠A = x°, ∠B = 2x°, ∠C = (2x + 15)°

Solution

Problem 2 :

∠A = x°, ∠B = 7x°, ∠C = x

Solution

Problem 3 :

∠A = (x - 15)°, ∠B = (2x - 165)°, ∠C = 90°

Solution

Find the measure of the exterior angle shown.

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

In triangle PQR, the measure of ∠P is 36. The measure of ∠Q is five times the measure of ∠R. Find ∠Q and ∠R.

Solution

Problem 8 :

The measure of an exterior angle of a triangle is 120. The interior angles that are not adjacent to this exterior angle are congruent. Find the measures of the interior angles of the triangle.

Solution

Problem 9 :

The angles of a triangle have measures of 2(5𝑥 − 3), 3(𝑥 + 5), and 8𝑥 + 3. Determine the sum of the largest and smallest angle.

Solution

Problem 10 :

Two angles of a triangle have equal measures, but the third angle's measure is 36° less than the sum of the other two. Find the measure of each angle of the triangle.

Solution