Conrad drew 2 angles. three times the measure of angle 1 is 30 more than 5 time the measure of angle 2. the sum of twice the measure of angle 1 and twice the measure of angle 2 is 180. find the measure of each angle.

Measure of angle 1 is 60° and angle 2 is 30°.

Step-by-step explanation:

Let us assume Conrad drew two angles ∠1 = x and ∠2 = y.

Now we go through the question.

Three times the measure of angle 1 is 30 more than 5 times the measure of angle 2.

Now we form the equation 3x = 30+5y

⇒ 3x-5y = 30(1)

Again the question says,the sum of twice the measure of angle 1 and twice the measure of angle two is 180.

We form the equation again.

⇒ 2x+2y = 180

2(x+y) = 180

Now we divide the equation by 2 on both the sides

⇒ x+y = 90(2)

we multiply equation (2) by 5.

⇒ 5(x+y) = 5×90 = 450

⇒ 5x+5y =450(3)

Now we add equation (1) and equation (3)

(3x-5y)+(5x+5y)=30+450

3x-5y+5x+5y =480

8x =480

x = 480÷8 = 60

Now we put the value of x in equation (2)

⇒ 60+y =90

⇒ y = 90-60 = 30

So the angle 1 is 60 and angle 2 is 30.

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.