MZS = 23 , arc RS = 86

, and RU is tangent to the circle at R. Find mZU.

S

U

Step-by-step explanation:

Given

See attachment

arc

Required

Find

Let

center of the circle

We have that:

arc

This implies that:

and

is an isosceles triangle

because:

the radius of the circle

And

So, we have:

--- angles in a triangle

Collect like terms

Recall that:

So:

Divide by 2

RU is a tangent.

So:

Given that:

Considering

We have:

So:

Lastly:

Collect like terms

Hence:

step-by-step explanation:

use context clues to figure out the meaning of the bolded word:  

the sage gardener knew when she had to water her plants.  

question 8 options:

mint plant

wise

happy

lazy

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true