Respuesta :
The sum of the interior angles of a triangle is 180°.
Then, to solve this question, follow the steps below.
Step 01: Write an equation that represents the sum of the interior angles.
Given the angles ∠A, ∠B, and ∠C, then:
[tex]\angle A+\angle B+\angle C=180\degree[/tex]Step 02: Substitute the known angles in the equation.
∠B = 90°
∠C = 27°
[tex]\begin{gathered} \angle A+90+27=180\degree \\ \angle A+117=180 \end{gathered}[/tex]Step 03: Isolate ∠A.
To do it, subtract 117 from both sides.
[tex]\begin{gathered} \angle A+117-117=180-117 \\ \angle A=63\degree \end{gathered}[/tex]Answer: ∠A = 63°.
