Quadrilateral RSTU is a rectangle with diagonal RT. If rtu 8x + 4 and str = 3x – 2, find x
1 answer:
Answer:
x=8
Step-by-step explanation:
we know that
If Quadrilateral RSTU is a rectangle
then
The measure of angle STU is a right angle
m∠STU=90°
m∠STU=m∠STR+m∠RTU
so
m∠STR+m∠RTU=90° -----> complementary angles
substitute the given values
(3x-2)+(8x+4)=90°
Solve for x
11x+2=90
11x=90-2
11x=88
x=8
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