Inner angles

The magnitude of the internal angle at the central vertex C of the isosceles triangle ABC is 72°. The line p, parallel to the base of this triangle, divides the triangle into a trapezoid and a smaller triangle. How big are the inner angles of the trapezoid?

Correct answer:

A =  54 °
B =  54 °
C =  126 °
D =  126 °

Step-by-step explanation:

γ=72  α = β α + β + γ = 180° α + α + γ = 180°  α=2180γ=218072=54  β=α=54=54   A=α=54=54
B=β=54=54
C+B = 180° C=180B=18054=126
A+D = 180    D=C=126=126



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Calculation of an isosceles triangle.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: