Question

If m1 + m3 = 154°, what is m2? Question 1 options: 26° 116° 156° 29°If m1 + m3 = 154°, what is m2?

Question 1 options:


26°


116°


156°


29°


For the above question, are angles 1 and 3 complementary, supplementary, or neither.  Explain your answer.  Note: You must answer and explain to receive full credit.

Answer 1

The answer to the first question is 26 I believe

Answer 2

The sum of angles in any triangle is 180 degrees.

It is given <1+<3=154 degrees.

<1+<2+<3=180

Or <1+<3+<2=180

Substituting <1+<3=154 we have

154+<2=180

Subtracting 154 both sides <2=180-154

<2= 26 degrees

First option is right answer.

Two Angles are Supplementary when they add up to 180 degrees

Two Angles are complementary when they add up to 90 degrees

Given <1+<3 =154 So they are neither complementary or supplementary.

Answer:Neither