Question

The second angle of a triangle is 25 more than twice the measure of the first angle. The third angle of a triangle is 15 degrees more than half the measure of the first angle. Find the measure of each angle. Can someone please show me a drawing of what this would look like?

Answer 1

We're going to represent the first angle with "a". Since the second and third angles are defined by a, we can also represent these angles using this variable.
the second angle = 2a+25
the third angle = a/2+15
since the total number of degrees in a triangle is 180
a+2a+25+a/2+15=180
combine like terms
3a+a/2+40=180
3a+a/2=140
(we subtracted 40 from both sides)
6a+a=280
(we multiplied both sides by 2 to remove the /2 from the second "a")
7a=280
a=40
(we divided both sides by 7 to remove the coefficient)
now that we have found a, we can define the other angles with this value
angle 2 = 2(40)+25 = 80+25 = 105
angle 3 = 40/2+15 = 20+15 = 35
we can check our work by adding all the angles together
40+105+35 = 40+140 = 180
this triangle would look something like this

Answer 2

okay thanks