Question

Find the measure of each acute angle.

(19x - 1)
(13x - 5)
(193' - 1) =
and (132 – 5)° =

Answer 1

(19x - 1)° = 56°

(13x - 5)° = 34°

Explanation:

Property of the interior angles of a triangle:

Sum of interior angles of a triangle is 180°.

Therefore, sum of angles of the given right triangle will be,

(19x - 1)° + (13x - 5)° + 90° = 180°

32x - 6 + 90 = 180

32x = 96

x = 3

(19x - 1)° = 19×3 - 1 = 56°

(13x - 5)° = 13×3 - 5 = 34°