In the figure, m∠1=m∠2 = 22 and m∠3 = m∠4 = 123. find m∠tsk.

choices:
33
35
45
22

Step-by-step explanation:

we know that

The sum of the internal angles of a triangle must be equal to degrees

so

In the triangle STK

we have

substitute and solve for m<TSK

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.