When the sides are congruent (same direction and size), and the two opposite sides are parallel, the angles are the same. In an isosceles triangle, two angles are congruent, because two sides are congruent.
Answer:
The measure of angle T is 135 degrees.
Step-by-step explanation:
Let's just say the measure of angles T and S are variables t and s.
So the equation would be...
t + s = 180
Since they are supplementary angles, they add up to 180.
Also, we know that t is 3 times s.
t = 3s
Now we can solve this system of equations.
Substitute 3s into t of the first equation.
3s + s = 180
4s = 180
s = 45
Then, since we know that the measure of angle t is 3 times the measure of angle s, we can just multiply 45 by 3 and find the measure of angle t.
45 * 3 = 135
t = 135
So the measure of angle t is 135.
*<em>Just copied from my previous answer, don't know why you needed it again but here you go.</em>
so just find the "adjacent" side, using the pythagorean theorem, and even though the square root can give you +/-, use the positive one, assuming the angle is in the 1st quadrant
keeping in mind, that the 2nd quadrant is feasible as well, since the opposite side of +2 can also be in the 2nd quadrant
but anyhow, use the I quadrant
