Question
The m<2 = 47° Use this information and the information on the diagram to answer all of the following parts. There are 6 parts worth 1 point each.
a. Write an equation to solve for the m<1
a. Write an equation to solve for the m<1
Answers
GPT 3.5
The given information is m<2 = 47°. To solve for m<1, we can use the fact that angles 1 and 2 are supplementary, which means that their measures add up to 180°.
Therefore, we can write the equation:
m<1 + m<2 = 180°
Since we know that m<2 = 47°, we can substitute this value into the equation to solve for m<1:
m<1 + 47° = 180°
Now, we can solve for m<1 by subtracting 47° from both sides of the equation:
m<1 = 180° - 47°
m<1 = 133°
Therefore, the measure of angle 1 (m<1) is 133°.
Therefore, we can write the equation:
m<1 + m<2 = 180°
Since we know that m<2 = 47°, we can substitute this value into the equation to solve for m<1:
m<1 + 47° = 180°
Now, we can solve for m<1 by subtracting 47° from both sides of the equation:
m<1 = 180° - 47°
m<1 = 133°
Therefore, the measure of angle 1 (m<1) is 133°.