Leslie has a box of markers. There are 3 black, 4 red, 2 blue, 1 brown, 2 purple, 2 yellow and 5
green markers. Create a sample space of possible
outcomes for choosing a marker. Is this a simple or compound event?

The measure of angle A is 35°

The measure of angle B is 90°

The measure of angle C is 55°

Step-by-step explanation:

Let

x -----> the measure of angle A

y ----> the measure of angle B

z ----> the measure of angle C

we have

Observing the ratio

The smallest angle is x and the greatest angle is y

In a right triangle, the measure of the right angle is the greatest angle and the sum of the other two angles is equal to 90 degrees, because are complementary angles

so

y=90° -----> equation A

x+z=90° -----> equation B (by complementary angles)

x=35° -----> equation C (the smallest angle)

Substitute the value of x in equation B and solve for z

35°+z=90°

z=90°-35°=55°

therefore

The measure of angle A is 35°

The measure of angle B is 90°

The measure of angle C is 55°