Question

in a triangle the second angle is 5 times as large as the first and the third angle in 18 degrees less than 4 times the first angle . find the size of the angles

Answer 1

Let the first angle have measure x.

"the second angle is 5 times as large as the first "
How would you represent the second angle using x?

"the third angle is 18 degrees less than 4 times the first angle"
How would you represent the thrid angle in terms of x?

Answer 2

I did x +5x+4x-18=180
x=19.8
then 5(19.8)=99 how would i do the third

Answer 3

Subtract the sum of the two angle measures you have from 180.

Answer 4

so is it 19.8-99=180

Answer 5

can you so me an equationand i work it out

Answer 6

You now know that the first angle is 19.8.
The second angle is 99.
The sum of all three angles is 180.

x + y + z = 180
19.8 + 99 + z = 180

Solve for z, the measure of the third angle.

Answer 7

61.2?

Answer 8

Correct.