Posted by **Max R ** on Tuesday, November 1, 2011 at 9:33pm.

Two angles <3 and <5 are supplementary to <4. If m<5 is 78 degrees, what is m<3? (A diagram is required, label the diagram)

- geometry -
**Steve**, Wednesday, November 2, 2011 at 11:10am
I take this to mean that each of <3 and <5 is supplementary to <4. So,

m<3 + m<4 = 180

m<5 + m<4 = 180

In that case,

78 + m<4 = 180

m<4 = 102

Now, knowing that, w can find m<3:

m<4 + 102 = 180

m<4 = 72

This makes sense, since angles supplementary to a given angle are equal.

## Answer this Question

## Related Questions

- Geometry - Why do complementary and supplementary angles not have to be adjacent...
- Math - Find the measures of two supplementary angles if the difference of their ...
- Geometry Check please - Is the following definition of complementary angles ...
- Please help with MATH - Why do complementary and supplementary angles not have ...
- Geometry help check ?? - Given: <2 = <4, m<2 = 110 Proof: m<3 = 70 &...
- geometry - The supplementary angles are supplementary angles. Determine the ...
- geometry - draw a diagram to explain how it is possible for 2 central angles to ...
- geometry - a tree on a 30degree slope grows straight up .what are the measure of...
- dma 040 - 2 angles are supplementary if their sum is 180degress. Larger angle ...
- Math - Which of the following correctly lists angle pairs that have the same ...

More Related Questions