Answer:
7) 105°
8) 105°
Step-by-step explanation:
For the first question:
All angles of a triangle added will always equal 180°. If you already have two of the angles just add them up and subtract that by 180. The result is the measure of the third angle.
This is what we do in this case: 180 - 53 - 52 = 75
Since we want to find the measure of the exterior angle of C, and it forms a straight line when added to the interior angle of C, we know that 75° plus this other angle will equal 180°. This is because the angle of a straight line will always be equal to 180°. So to find the angle we should subtract 75 from 180. This will give us 105° which is the measurement of angle x.
For the second question.
For a straight line the angle measure will always be equal to 180°. The green angle that is missing forms a straight line when added with the measures beside it of 34° and 41°. So to find the measurement of the green angle just add 34° and 41° and subtract them from 180°. The result will be the measurement of the green angle.
