Kite Frame Triangle Angles Worksheet gives learners a diagram, one worked example and five questions. The student sheet leaves space to show work. A second printable page gives the steps for each answer.
Start with the model
The three inside angles of a triangle total 180°. An inside angle and its adjacent exterior angle form a straight angle.
Frame ABC has A = 48° and B = 66°. The base AB continues beyond B to form exterior angle x.
Worked example
A + B = 48° + 66° = 114°. Subtract this sum from 180° to find C.
Ask the learner to point to the information used in the example. When they move on to the exercises, have them record the quantity, unit or label that each step represents.
Practice questions
- Find angle C. Show how you used the triangle sum.
- Find the exterior angle x at B.
- Add the two inside angles away from x. Compare with x.
- If angle A increases by 10° and B stays fixed, what happens to C?
- If a new triangle has the same B but equal A and C, what are A and C?
Separate answer key
- C = 180° − 48° − 66° = 66°.
- x = 180° − 66° = 114°.
- A + C = 48° + 66° = 114°, the same as x.
- C decreases by 10° to 56°. The three inside angles still total 180°.
- The equal angles share 180° − 66° = 114°. Each is 57°.
Download the student sheet and key
Each page has its own Download image and Download PDF controls. Choose US Letter or A4 for the PDF. Match the paper size in the print dialog and check the page edges before printing. The original PNGs are 2550 × 3300 pixels at 300 dpi. The pages are free for personal and classroom use.