Find the measure of all the missing angles worksheet answers


Asked by admin @ in Mathematics viewed by 369 People


If m∠8=23°, find the measure of each missing angle. Give your reasoning.

m∠1=?
m∠2=?
m∠3=?
m∠4=?
m∠5=?
m∠6=?
m∠7=?

Answered by admin @



The measure of each angle and their reasoning are explained for all in the explanation below.

We are given that;

m∠8=23°

a). From the given image, we see that;

m∠1 and m∠8 are supplementary angles and as such they sum up to 180°;


Thus; m∠1 + m∠8 = 180°


m∠1 = 180° - m∠8


m∠1  = 180 - 23

m∠1  = 157°


b). We see that m∠1  and m∠2 are angles that form a straight line.

Sum of angles on a straight line equals 180°. Thus;

m∠1 + m∠2 = 180°

m∠2 = 180 - 157

m∠2 = 23°


c). We see that m∠3 and m∠1 are vertically opposite angles and they must be equal. Thus

m∠3 = m∠1

Thus; m∠3 = 153°


d). We see that m∠4 and m∠2 are vertically opposite angles and they must be equal. Thus

m∠4 = m∠2

Thus; m∠4 = 23°


e). We see that m∠5  and m∠1 are corresponding angles and are therefore equal. Thus;

m∠5 = m∠1

m∠5 = 157°


f). We see that m∠6 and m∠8 are vertically opposite angles and as such;

m∠6 = m∠8


Thus, m∠6 = 23°


g). We see that m∠7 and m∠5 are vertically opposite angles and are therefore equal. Thus;

m∠5 = m∠7

m∠5 = 157°

Read more at;brainly.com/question/18677498


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