(05.05 MC) What are the measures of Angles a, b, and c? Show your work and explain your answers.

Two straight lines intersect at a point to form angle a. The measure of the angle opposite to angle a is 30 degrees. Angle a is the angle of a right triangle having another angle equal to b. A triangle with one angle labeled c is on the left of the figure. The angle adjacent to c is labeled 75 degrees.

all the angles of a triangle must add up to 180

Step-by-step explanation:

Angle A: 30*

Angle B: 60*

Angle C: 105*

Step-by-step explanation:

Angle A is the same as the 30 degree angle right above it. Angle B can be found by subtracting the other two angles in the triangle from 180. 180 - (30 + 90) = 60. Angle C is a supplementary angle with the 75 degrees angle, so if you add the both angles (105 + 75) is equals 180 degrees, which means it's a supplementary angle.

Hope this helps.

Btw I did this on an exam today and I got it right.

a = 11 : 4

b = 38

c = 1 for every 6

24

step-by-step explanation: