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5 votes
U have to work out the value of a by the way

U have to work out the value of a by the way-example-1
User Shadam
by
6.6k points

2 Answers

5 votes

Answer:

a= 15°

Explanation:

> use the fact that the sum of angles in a triangle is 180°

> based on the picture in the small right triangle we have b° +2b° +90° =180°

b +2b +90 =180° , combine like terms

3b +90 = 180, subtract 90 from both sides of the equation

3b = 90, divide by 3 both sides of the equation

b = 30°

> angle b has a ray that continues as a line so it makes an 180° angle and we have the acute triangle so we can write that

a + a+ (180-b) =180, substitute b

2a + 180-30 =180, subtract 180 from both sides, and add 30 to both sides

2a=30, divide by 2 both sides

a= 15°

User BlueFast
by
6.3k points
2 votes

Answer:

Explanation:

180-90=2b+b

90=3b

90/3=b

30=b

2b=2*30

=60

180-90=a+a

90=2a

a=90/2

a=45

the answer is 45 degrees

hope it helps!!let me know if it does

User Laker
by
6.8k points
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