Question

OFind the missingangle measures.B.m 41 =9058°A4m 42 =31089Em 3 =o

Answer 1

step 1

Find the measure of angle 1

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

so

In the triangle ABC

90+58+<1=180

148+<1=180

<1=180-148

<1=32 degrees

step 2

Find the measure of angle 2

we know that

<2=<1 -----> bt vertical angles

so

<2=32 degrees

step 3

Find the measure of angle 3

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

so

In the triangle CDE

32+108+<3=180

140+<3=180

<3=180-140

<3=40 degrees