Find the value of xxx in the triangle shown below. x =x=x, equals

^\circ

∘

degrees

10

Step-by-step explanation:

The question lacks appropriate diagram. Find the diagram attached below.

From the isosceles triangle shown, we can see that it is made up of two right angled triangle.

Using the Pythagoras theorem to solve for the adjacent side of both right angled triangles we will have;

From the formula:

Hyp² = Opp²+Adj²

Adj² = Hyp² - Opp²

The hypotenuse and the opposite of both triangle is equal. Hence their adjacent side will also be equal.

Given Hypotenuse = √74

Opposite = 7

Adj² = Hyp²-Opp²

Adj² = (√74)² - 7²

Adj² = 74-49

Adj² = 25

Adj = √25

Adj = 5

The adjacent of both sides are equal

x = 2 × Adjacent side

x = 2(5)

x = 10

Hence the value of x in the triangle below is 10

47 - 90 = 43

43 - 180 = x

x = 137