Answer:
x = 25
Step-by-step explanation:
Looking at the triangle we know that it is a right triangleor a 90⁰ triangle.
(2x + 15)⁰ + x⁰ = 90⁰
2x + 15⁰ + x⁰ = 90⁰
<u>2x + x</u> + 15⁰ = 90⁰
3x + 15⁰ = 90⁰
3x <u>+ 15⁰ - 15⁰</u> = <u>90⁰ - 15⁰</u>
3x = 75⁰
<u>3x / 3</u> = <u>75⁰ / 3</u>
x = 25⁰
Now plug the x value in the missing angles.
2x + 15⁰
<u>2(25⁰)</u> + 15⁰
<u>50</u><u>⁰</u><u> </u><u>+</u><u> </u><u>15</u><u>⁰</u>
65⁰
According to the sum of triangle, all angles add up to 180⁰. Even though this is a right triangle, it should add up 180⁰ in order to be a triangle.
65⁰ + 25⁰ + 90⁰ = 180⁰
Hope this helps and stay safe, happy, and healthy, thank you :) !!
