Triangle SQT is isosceles. The measure of angle STQ is 48°. Triangle S Q T is cut by perpendicular bisector T R. The lengths of
2 answers:
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Answer:
The measure of one angle is , and the measure of the other one is
Step-by-step explanation:
Recall that supplementary angles are those whose addition renders
We need to find the measure of two such angles whose difference is precisely .
Let's call such angles x and y, and consider that angle x is larger than angle y, so we can setup the following system of equations:
We can now solve this by simply combining term by term both equations, thus cancelling the term in "y", and solving first for "x":
So, now we have the answer for one of the angles (x), and can use either equation from the system to find the measure of angle "y":