Multi-Step Angle Problems Worksheets Grade 7

1. In triangle ABC, angle A = 2x, angle B = 3x, and angle C = 4x. Find the value of x and the measure of each angle.
2. Liam is designing a triangular garden with sides measuring 18 feet, 24 feet, and 30 feet. He wants to create a similar triangular flower bed where the longest side is 20 feet. What will be the perimeter of the smaller flower bed?
3. In triangle ABC, angle A is 3 times angle B, and angle C is 45 degrees more than angle B. Find the measure of each angle.

…and 5 more problems

1. Olivia is designing a triangular window for a treehouse. The three angles of the triangle are in the ratio 2:3:5. She needs to know the measure of each angle to cut the glass correctly. What is the measure of the largest angle?
2. Liam is designing a triangular garden with angles that have a ratio of 2:3:4. He needs to determine the measure of the largest angle to ensure proper sunlight exposure for his plants. What is the measure of the largest angle in degrees?
3. Mere is building a triangular wooden frame for a kite. One angle of the triangle measures 48 degrees. The other two angles are such that one is 6 degrees more than twice the other. What are the measures of all three angles in Mere's triangle?

…and 5 more problems

1. In the diagram, two parallel lines are cut by a transversal. One of the interior angles on the same side of the transversal is (3x + 15)° and the other interior angle on the same side is (2x + 25)°. What is the value of x?
2. A triangular park has sides measuring 120 meters, 160 meters, and 200 meters. The city wants to build a similar triangular playground where the longest side is 50 meters. What will be the perimeter of the new playground?
3. In triangle ABC, angle A is 3x + 15, angle B is 2x - 5, and angle C is x + 20. Find the measure of each angle.

…and 5 more problems