20 points brainlist thanks please help Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

<x = 53 degrees

Step-by-step explanation:

<Q = 62 degrees (alternate angle)

<PRQ = 180-115 (Angles on a straight line add up to 180 degrees)

<PRQ = 65 degrees

Now, Finding <x

To find <x, we'll simply subtract 180 from rest of the triangles interior angles because the interior angles of a triangle add up to 180 degrees

=> <x = 180-65-62

=> <x = 53 degrees

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

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