The measure of one of the small angles of a right triangle is 15 less than twice the measure of the other small angle. Find the

Question

3 years ago

14

measure of both angles

1 answer:

gulaghasi [49] · Answer 1 · 2022-07-02T11:08:19+03:00

Answer:

35° and 55°

Step-by-step explanation:

The sum of the angles of a right rectagle is 180°, with a right angle of 90°.

The tell us that A = 2B-15, so:

180° = 90° + A + B

180° = 90° + 2B - 15 + B

180° - 90° + 15 = 2B + B

105° = 3B

B = 105°/3 = 35°

Now, let's find A:

A = 180° - 90° - 35° = 55°