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strojnjashka [21]
2 years ago
13

If Angle B is two more than three times the measure of Angle C, and Angle B and Angle C are complementary angles, find each angl

e measure.
Mathematics
1 answer:
dolphi86 [110]2 years ago
5 0

Answer:

The measure of angle B is 68° and the measure of angle C is 22°

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

m∠B+m∠C=90° -----> equation A

m∠B=3(m∠C)+2 ----> equation B

Substitute equation B in equation A and solve for m∠C

3(m∠C)+2+m∠C=90

4(m∠C)=90-2

4(m∠C)=88

m∠C=88/4

m∠C=22°

Find the value of m∠B

m∠B=3(22)+2=68°

therefore

The measure of angle B is 68° and the measure of angle C is 22°

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2 years ago
Suppose the odds against winning the lottery as 48,000,000 to 1. What is the probability of the event of winning the lottery giv
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According to the question:

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8 0
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2 years ago
In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?
7nadin3 [17]

Correct answer is: distance from D to AB is 6cm

Solution:-

Let us assume E is the altitude drawn from D to AB.

Given that m∠ACB=120° and ABC is isosceles which means

m∠ABC=m∠BAC = \frac{180-120}{2}=30

And AC= BC

Let AC=BC=x

Then from ΔACD , cos(∠ACD) = \frac{DC}{AC} =\frac{4}{x}

Since DCB is a straight line m∠ACD+m∠ACB =180

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Hence cos(60)=\frac{4}{x}

          x=\frac{4}{cos60}= 8

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DE = 12sin(30) = 6cm

7 0
3 years ago
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