Homework Help: mat116

Posted by thawk on Sunday, November 14, 2010 at 7:52pm.

In a triangle ABC, angle B is 4 times angle A and angle C is 16 degrees less than 5 times angle A.

What is the size of angle A _____
B _____ and C _____

I would like to learn this so please be so kind to walk me through the steps. I appreciate you very much!!!

mat116 - Reiny, Sunday, November 14, 2010 at 8:15pm
make a diagram, it does not have to be to scale.

let angle A = x
(I picked A since both conditions stated used it as a reference)
"angle B is 4 times angle A" ---> angle B = 4x
"angle C is 16 degrees less than 5 times angle A" -->angle C = 5x - 16

Now, what do you know about the 3 angles of a triangle?
Don't they add up to 180° ?

so x + 4x + 5x-16 = 180
10x = 196
x = 19.6°

So by the definitions above
A = 19.6
B = 78.4
C = 82

(check for their sum)
mat116 - Jimmy, Sunday, November 14, 2010 at 10:57pm
You can get MAT116 from uopaxiasolutions dot com.

Answer this Question

Related Questions

algebra - In a triangle ABC , angle B is 4 times angle A and angle C is 17 ...
Algebra - In a triangle ABC, angle B is three times angle A and angle C is 5 ...
math - In a triangle ABC,angle B is 3 times angle A and angle C is 5 degrees ...
MATH - In a triangle ABC, angle B is three times angle A and angle C is 1 less ...
math - in triangle abc angle b is 5x angle a and c is 16 degree less than 4 ...
geometry - In a triangle ABC, angle B is 3 times angle A and angle C is 8 ...
algebra 1 - In a triangle ABC,angle b is 4 times angle "A" and angle &...
algebra 1 - In a triangle ABC,angle b is 4 times angle "A" and angle &...
math - In a triangle ABC, angle B is 5 times angle A and angle C is 18° less...
geomitry - the first angle of a triangle is complementry to the third angle. the...

For Further Reading

First Name:
School Subject:
Answer: