the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of…
the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of 3 x =
Answer
Explanation:
Step1: Recall angle - sum property
The sum of the interior angles of a triangle is 180°.
Step2: Set up the equation
We have a right - triangle with angles 24°, 90° (the right - angle), and (x)°. So, (24 + 90+x=180).
Step3: Simplify the left - hand side
(24 + 90=114), so the equation becomes (114 + x=180).
Step4: Solve for (x)
Subtract 114 from both sides: (x=180 - 114). (x = 66)
Answer:
66