Math Problem Statement
Solution
The image contains a geometric diagram and a question that asks to calculate the value of .
The diagram shows a straight line with points labeled , , and . There is a line extending from point to point , forming an angle at point . There is a 90° angle between line segments and , and an indicated angle .
To calculate , which appears to be the unknown angle , we can use the following reasoning:
Solution:
- Since and form a 90° angle, the total angle on the straight line at point must be 180° (because angles on a straight line sum up to 180°).
- The angle is given as .
- Therefore, is calculated by subtracting the sum of the known angles from 180°:
Thus, the value of is .
Do you have any further questions or would you like more details on this solution? Here are some related questions you might find helpful:
- What is the sum of angles in a triangle?
- How do complementary and supplementary angles differ?
- How can you use the sine, cosine, and tangent functions in right triangles?
- What are the angle properties in parallel lines intersected by a transversal?
- How do you calculate unknown angles in different types of polygons?
Tip: When dealing with straight lines and angles, remember that the sum of angles on a straight line is always 180°.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Angles on a Straight Line
Formulas
Sum of angles on a straight line = 180°
Theorems
Angle Sum Property on a Straight Line
Complementary Angles
Suitable Grade Level
Grades 6-8