Question

I NEED HELP WITH THIS one angle of a triangle measured 145 degrees. The other two angles are in a ratio of 2:3. what are the measures of those two angles?

Answer 1

Answer:

Step-by-step explanation:

A triangle has 180 degrees in total. One of the angles are 145 degrees, so we can subtract and get 35 degrees. Then, it says that the remaining angles are in a ratio 2:3. So, we would have:

$2x:3x = 35 \\2x+3x = 35\\5x=35\\x=7$

Now that we know what x is, we can multiply that to our ratio:

$2\cdot7=14 \text{ degrees for the first angle}\\3\cdot7=21 \text{ degrees for the second angle }$

Hope this helps!!!!!!!