Question

Quadrilateral RSTU is a rectangle with diagonal RT. If rtu 8x + 4 and str = 3x – 2, find x

Answer 1

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