Question

Find the values of angles a, b and c in the following figure.
a
45°
30°
с
b​

Answer 1

Answer:

a=105°, b=135°, c=45°

Step-by-step explanation:

45+30+a=180

75+a=180

a= 180-75=105°

c=45(vertically opposite angles)

b=30+a=30+105=135°

I hope my answer helps you ☺☺

Answer 2

Answer:

a= 105°

b=135°

c=45°

Step-by-step explanation:

in the given figure angle A + 45°+ 30° = 180°(the sum of all angles on a straight line is 180 degree)

Angle A +75=180°

A= 180-75

angle A= 105°

now

angle A + angle c + 30° =180 degree (the sum of all angles on a straight line is 180 degree)

and angle a = 105°

so,

105+C+30=180

135+C=180

C=180-135

C=45°

again,

angleB +45°= 180°(linear pair)

ange B= 180-45°

angle B= 135°

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