If RU is congruent to TU, angle RSU = c + 30°, and angle TSU = 2c, what is the value of c?​

30

Step-by-step explanation:

The triangles are similar because of Hypotenuses- Leg.  Therefore,

∠RSU ≅ ∠TSU

c + 30 = 2c

30 = c  (Subtract c from both sides.

we know that

if two lines are perpendicular

then the product of their slopes is equal to minus one

so

in this problem we have

the value of m2 must be equal to

we know that

The formula to calculate the slope between two points is equal to

Find the slopes of each of ordered pairs and compare with m2

case a)

Substitute in the formula

The slope is equal to m2

so

The ordered pair case a)  could be points on a line that is perpendicular to the given  line

case b)

Substitute in the formula

The slope is not equal to m2

so

The ordered pair case b)  could not be points on a line that is perpendicular to the given  line

case c)

Substitute in the formula

The slope is not equal to m2

so

The ordered pair case c)  could not be points on a line that is perpendicular to the given  line

case d)

Substitute in the formula

The slope is not equal to m2

so

The ordered pair case d)  could not be points on a line that is perpendicular to the given  line

case e)

Substitute in the formula

The slope is equal to m2

so

The ordered pair case e)  could be points on a line that is perpendicular to the given  line

therefore

the answer is