Find the value of m in the following figure. Note: The figure is not drawn to scale. 30° 35 aOе mº=

Question

asked Aug 16, 2021 234k views

2 Answers

Stefan Sprenger · Answer 1 · 2021-08-22T16:24:42+0000

Answer:

$\angle m=115^o$

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

$\angle m=115^o$