Question

The measure of angle 3 is 42° What is the measure of angle 1 in degrees

Answer 1

Answer:

48 degrees

Step-by-step explanation:

Angle 2 is a right angle.

Right angles are 90 degrees.

A line is 180 degrees.

Angle 1, 5, and 2 form a line.

180-90=90

That means that Angles 1 and 5 add up to 90 degrees.

We know that Angle 3 is 42 degrees.

Angle 3 and 5 are Vertical angles.

Vertical angles are always congruent.

This means that Angle 5 is also 42 degrees.

As we discussed earlier, Angles 1 and 5 are complementary. (Add up to 90 degrees)

42+x=90

Subtract 42 from both sides.

x=48

m<1=48