Final answer:
To solve for m∠VWY, add m∠VWX and m∠YWX to get 172°, then subtract this sum from 360° to find m∠VWY, which is 188°. An angle is measured in degrees, hence its called ‘degree measure’. One complete revolution is equal to 360 degrees, hence it is divided into 360 parts. Each part of the revolution is a degree.
Step-by-step explanation:
To solve for m∠VWY, it's important to first understand that in problems involving angles and their measures, the angles around a point sum up to 360°. Given that m∠VWX is 132° and m∠YWX is 40°, these two angles together make up part of the full circle around point W. The angle m∠VWY we want to find is the difference between 360° and the sum of m∠VWX and m∠YWX.
Let's calculate it step by step:
- Add m∠VWX and m∠YWX to find the sum of both angles. 132° + 40° = 172°.
- Subtract the sum from 360° to find m∠VWY. Therefore, m∠VWY = 360° - 172° = 188°.
The measure of angle VWY is 188°.
An angle is a shape in geometry that is formed when two rays are joined together at a single point. The point where two rays meet is called the vertex of the angle and two rays are called the arms of the angle.
A protractor is a semi-circular tool used to draw and measure angles. It is marked with degrees from 0 to 180 degrees. It can be directly used to measure any angle from 0 to 360 degrees. The markings are made in two ways, 0 to 180 degrees from right to left and vice versa.