Find the value of if .
A
45∘45^{\circ}45
∘

B
60∘60^{\circ}60
∘

C
75∘75^{\circ}75
∘

D
30∘30^{\circ}30
∘

x=75°

Step-by-step explanation:

Here, Suppose one angle in the first triangle as a.

Now,

a+60°+45°= 180° [Sum of interior angle of triangle]

a+105°= 180°

a=180°-105°

a= 75 °

Or,

x= a [being corresponding angle]

x=75°

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