Question

A triangle has an angle that measures 85 degrees. The other two degrees are in a ratio of 7:12. What are the measures of those two angles?

Please give the answers and EXPLAIN why.

Answer 1

To find the measures of the other two angles in the triangle with one angle measuring 85 degrees, we can set up an equation using the fact that the sum of the angles in a triangle is always 180 degrees.

Step-by-step explanation:

To find the measures of the other two angles in the triangle, we need to use the fact that the sum of the angles in a triangle is always 180 degrees.

Let's say the measures of the other two angles are 7x and 12x, since they are in a ratio of 7:12.

We can set up an equation: 85 degrees + 7x + 12x = 180 degrees.

Combining like terms, we get 19x = 95 degrees.

Solving for x, we divide both sides by 19 to get x = 5 degrees.

Then, we can find the measures of the other two angles by substituting x back into the ratio: 7x = 7(5) = 35 degrees and 12x = 12(5) = 60 degrees.

Answer 2

3x + 7x = 10010x = 100    we combined like terms10x/10 = 100/10   we divide each side by 10x = 10    now we will substitute this value into our two angles to find out exactly how many degrees they each are. 3x..... 3(10) is 30 degrees7x......7(10) is 70 degrees. To check...add up all 3 angles and be sure they equal 180 degrees30 + 70 + 80 = 180180 = 180