Question

The measures of the angles of a triangle are shown in the figure below. Solve for x.

(6x-11)⁰
23°

PLS HURRY PLS !! :(

Answer 1

Sum of the interior angles in a triangle = 180

So, 23 + 90 (right angle) + (6x-11) = 180

23 + 90 + 6x - 11 = 180

Simplify

102 + 6x = 180

Subtract 102 from both sides

6x = 78

Divide by 6

x = 13

Answer: x = 13

Answer 2

x = 13°

Explanation:

-> all angles of triangle add up to 180°

-> right angle = 90°

-> GIVEN: 90° and 23°

90° + 23° + (6x-11) = 180°

6x-11 = 67°

6x = 78°

`(6x)/(6) =(78)/(6)`

x = 13°