Question

What Are The Mesure Measures of angle 1.a 2.b 3.c

Answer 1

1) Let's start with the angle "a"

∠a is vertical opposite to the angle that measures 35º. Vertical opposite angles are congruent.

So ∠a=35º

2)

∠a and ∠b are the acute angles of a right triangle. The acute inner angles of a right angle are complementary angles, which means that they add up to 90º

Then:

`\begin{gathered} \angle a+\angle b=90 \\ 35+\angle b=90 \\ \angle b=90-35 \\ \angle b=55º \end{gathered}`

So ∠b=55º

3)

Finally, ∠c is a linear pair with the angle that measures 70º, this means that they are supplementary.

`\angle c+70=180º`

From this expression, you can calculate the value of ∠c

`\begin{gathered} \angle c=180-70 \\ \angle c=110º \end{gathered}`

So ∠c=110º