Question

9. Find the measure of the lettered angles. ​

Answer 1

Answer:

Step-by-step explanation:

part 1(a)

as given angle adjacent to angle a=90 degree

also the sum of both angles will be 180 degree

so angle a = 180-90

a = 90 degree

part 2(b)

same as part 1

angle adjacent to angle p = 108 degree

also the sum of both angles will be 180 degree

so the angle p = 180-108

p= 72 degree

part 3(c)

here we can see three angles are given

all there sum is 180 degree

that is 62 + 53 + y = 180

so y = 180 - 62 + 53

y = 180-  115

y= 65 degree

part 4(d)

as we can see all the angles are equal in this question

also there sum = 180 degree

so 3 b = 180

b = 180/3

b= 60 degree

so all the angles are of 60 degree

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Answer 2

Answer:

a.) a° + 90° = 180° ( linear pair)

a = 180° - 90°

a = 90°

b.) 108° + p = 180° ( linear pair )

p = 180° - 108°

p = 72°

e.) 62° + y + 53° = 180° ( linear pair )

115° + y = 180°

y = 180° - 115°

y = 65°

f.) b + b + b = 180° ( linear pair )

3b = 180°

b = 180°/3

b = 60°

I hope it will help you