Question

Solve the right triangle ABC for all missing parts express angles in decimal degrees and please round to the nearest hundredth

Answer 1

Hello! First, we must remember some concepts:

the sum of the three internal angles of a triangle equals 180º.

a right triangle has an angle equal to 90º.

Knowing that, let's solve this exercise:

We know the measurement of two angles:

`\begin{gathered} \angle A=23\circ23^(\prime) \\ \angle B=90\circ \\ \angle C=x \end{gathered}`

Remembering that the sum of all angles must be 180º, let's calculate:

23º23' + 90º + x = 180º

113º23' + x = 180º

x = 180º - 113º23'

x = 66°37

So, x = 66º37'.