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3 years ago

Use exterior angle of triangle theorem to find the missing measure of an angle in a polygon.

Mathematics

2 answers:

Kobotan [32]3 years ago

6 0

Answer:

$\boxed{x=60}$

Step-by-step explanation:

The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles of the triangle.

$130=70+x$

Subtract 70 from both sides.

$130-70=70+x-70$

$60=x$

Drupady [299]3 years ago

5 0

Answer:

x = 60°

Step-by-step explanation:

Exterior angle is equal to the sum of opposite interior angles

x + 70 = 130

Subtract 70 from both sides

x = 130 - 70

x = 60°

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Solve the triangle. Round your answers to the nearest tenth. Law of sines 6 A. M∠C=34 m ∠ C = 34 , b=25 b = 25 , c=16 c = 16 B.

PolarNik [594]

Answer:

$A = 43.0^o$

$B = 55.0^o$

$BC = 20.0$

Step-by-step explanation:

I will solve this question with the attached triangle

From the attachment, we have:

$\angle C =82^o$

$AB = 29$

$AC = 24$

Required

Solve the triangle

First, we calculate $\angle B$ using sine law:

$\frac{AC}{\sin(B)} = \frac{AB}{\sin(C)}$

This gives:

$\frac{24}{\sin(B)} = \frac{29}{\sin(82^o)}$

$\frac{24}{\sin(B)} = \frac{29}{0.9903}$

Cross multiply

$\sin(B) * 29 = 24 * 0.9903$

$\sin(B) * 29 = 23.7672$

Divide both sides by 29

$\sin(B) = 0.8196$

Take arcsin of both sides

$B = \sin^{-1}(0.8196)$

$B = 55.0^o$

Next, calculate $\angle A$ using:

$A + B + C = 180^o$ --- angles in a triangle

$A + 55^o + 82^o = 180^o$

Collect like terms

$A = 180^o-55.0^o - 82^o$

$A = 43.0^o$

Next, calculate BC using sine laws

$\frac{BC}{\sin(A)} = \frac{AB}{\sin(C)}$

This gives:

$\frac{BC}{\sin(43.0)} = \frac{29}{\sin(82)}$

$\frac{BC}{0.6820} = \frac{29}{0.9903}$

Make BC the subject

$BC = \frac{29*0.6820}{0.9903}$

$BC = 20.0$

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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You and three friends are going to the fair. The cost for

lions [1.4K]

Answer:

$17 on food per person

Step-by-step explanation:

The cost of parking a car is $5

Assuming that the friends used one car, then the parking cost=$5

Admission cost is 19

For three people, Admission cost =19*3=57

TOTAl COSTS=Parking cost+Admission cost

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FOOD= 113-62=51

Therefore each person can spend 51/3=$17 on food

I hope this was helpful and clear to follow

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Read 2 more answers

Use exterior angle of triangle theorem to find the missing measure of an angle in a polygon. ​

Use exterior angle of triangle theorem to find the missing measure of an angle in a polygon.