Question

Find the value of m in the following figure. Note: The figure is not drawn to scale.

30°
35
aOе
mº=

Answer 1

115

Explanation:

30 + 35 = 65

65 + 115 = 180

Answer 2

`\angle m=115^o`

Explanation:

The picture of the question in the attached figure

step 1

Find the measure of the third angle of the triangle on the bottom

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

Let

x ----> the measure of the third angle

`30^o+35^o+x=180^o`

`x=180^o-65^o=115^o`

step 2

Find the measure of angle m

we know that

`\angle m=\angle x` ----> by vertical angles

therefore

`\angle m=115^o`