Question

Three straight lines are shown in the diagram. 310° a C 38% 87%

Answer 1

Step-by-step explanation:

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The sum of angle at a point is 360° so...

310° + a = 360°

a = 360° - 310°

a = 50°

Now...

here b and 180° are supplementary angle so ....

b = 180° - 80°

b = 100°

Again...

The sum of all angle of triangle is 180° so...

100° + 50° + c = 180°

150° + c = 180°

c = 180° - 150°

c = 30°

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Hence...the value of a is 50° , b is 100° and c is 30°...

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Answer 2

Answer:

a is 50

b is 100

and c is 130

Step-by-step explanation:

1) the reason why a is 50 because a circle has a constant angle which is 360 so we just need to subtract 360 by 310 to find out the missing angle to complete the entire circle.

2) a straight angle has a constant angle which is 180 degrees and now we have the given angle 80 so to complete the straight angle we just need to subtract 180 to 80.

3) now as we've found a, which is 50 degrees, we now also know that a straight angle is 180 degrees so just subtract 180 by 50 so we get 130.

I'm sorry I'm really bad at explanations but I tried and I hope it helps.

thank you