1) which is the measure of ∠a?
a) 93°
b) 113°
c) 138°
d) 180°

2) which is the measure of ∠c?
a) 42°
b) 138°
c) 180°
d) 218°

3) which is the measure of ∠b?
a) 42°
b) 138°
c) 180°
d) 218°

4) find the value of x.
a) 21
b) 27
c) 31
d) 34

5) find the measure for ∠mqx.
a) 54°
b) 59°
c) 63°
d) 65°

Part 1) Option A) 93°

Part 2) Option B) 138°

Part 3) Option A) 42°

Part 4) Option A) 21

Part 5) Option A) 54°

Step-by-step explanation:

Part 1) Which is the measure of ∠A?

see the attached figure N 1

we know that

m∠A+87°=180° -----> by supplementary angles (form a linear pair)

so

m∠A=180°-87°=93°

Part 2) Which is the measure of ∠C?

see the attached figure N 2

we know that

m∠C+42°=180° -----> by supplementary angles (form a linear pair)

so

m∠C=180°-42°=138°

Part 3) Which is the measure of ∠B?

see the attached figure N 3

we know that

m∠B and 42° are vertical angles

Remember that the vertical angles are a pair of congruent angles

so

m∠B=42°

Part 4) Find the value of x

see the attached figure N 4

we know that

64° and (3x+1)° are vertical angles

Remember that the vertical angles are a pair of congruent angles

so

64°=(3x+1)°

Solve for x

3x=64-1

3x=63

x=21

Part 5) Find the measure for ∠MQX

see the attached figure N 5

we know that

(3a+39)° and (5a+29)° are vertical angles

Remember that the vertical angles are a pair of congruent angles

so

(3a+39)°=(5a+29)°

Solve for a

5a-3a=39-29

2a=10

a=5

Find the measure of ∠MQX

m∠MQX=(3a+39)°

substitute the value of a

m∠MQX=3(5)+39=54°

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step-by-step explanatio89

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.