Angle Relationships Worksheets Grade 7

1. Ava is creating a geometric pattern for a quilt. She draws two adjacent angles on a straight line of fabric. One angle is 38 degrees less than twice the other angle. What is the measure of the smaller angle in degrees?
2. A city park designer creates a triangular garden with two supplementary angles. One angle measures 115° and is formed by the intersection of the main walkway and a diagonal path. The other supplementary angle is split into two smaller angles by a decorative fountain placed along the diagonal path. If one of these smaller angles measures 42°, what is the measure of the other smaller angle?
3. Mere is setting up two floodlights in her backyard so they form a straight beam of light along a fence line. The two angles formed where the lights meet are supplementary. One angle measures 38 degrees more than twice the other angle. What is the measure of the smaller angle in degrees?

…and 5 more problems

1. 2x + 15 = 180 - (x + 30)
2. A construction company is building a large bridge where two support beams meet. The angle between Beam A and Beam B measures 154°. What is the measure of the supplementary angle to this angle?
3. Aroha is building a wooden frame for a rectangular window. Two adjacent wooden beams form a straight line along the top edge. The larger angle between the beams measures 48 degrees more than twice the smaller angle. If these two angles are supplementary, what is the measure of the smaller angle in degrees?

…and 6 more problems

1. Mason is examining a diagram of two intersecting lines. One of the angles formed at the intersection is 127°. The angle adjacent to it on the same straight line is represented as (3x + 2)°. These two angles are supplementary. What is the value of x?
2. Hana is designing a decorative garden path using rectangular paving stones. Two adjacent angles formed by the path and the garden edge are supplementary. The larger angle measures 62 degrees more than twice the measure of the smaller angle. What is the measure of the smaller angle in degrees?
3. Mere is designing a geometric art piece using two intersecting metal rods. The rods create four angles at their intersection point. One of the angles measures 108°. The angle directly opposite this angle is marked as (3x + 18)°. These two angles are vertical angles. Find the value of x.

…and 5 more problems