Answer:
Step-by-step explanation:
Hello there!
<u>Algebra 1</u>
The first thing we should find is the missing angle
Because this is a right triangle we can solve it using the Pythagorean Theorem
The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared
the formula... where a and b = legs and c = hypotenuse
we are given two legs so we plug in a and b and solve for c
so we can conclude that the missing side length ( or z) equals 25
now to solve for the angles
<u>Trigonometry</u>
We can solve for y using sin
sin = opposite side divided by the hypotenuse
the opposite of y is 7 and the hypotenuse is 25
so we set up an equation
now we solve for y
then we round to the nearest hundredth
so we can conclude that angle labeled y = 16.26
<u>basic geometry</u>
Remember all of the angles in a triangle add up to equal 180 so we can find x by subtract the known angles from 180
180 - 90 - 16.26 = 73.74 so we can conclude that x = 73.74