Question

Please assist, quickly!

Answer 1

68

Explanation:

This is a isosceles triangle so that means the angles opposite of the two congruent sides, respectively, are equal.

So the not given angle is 56

Triangles interior angles add up to 180 so

`56 + 56 + x = 180`

`x = 68`

This also make since because 68>56 and 4.5 is the largest side of the triangle

Answer 2

x = 68°

Explanation:

Let's answer this question detailly.

For more detail see attachment:

In ΔABC

Given:

• AB = 4.5
• AC= 4
• BC = 4
• ∡A= 56°
• ∡C=x=?

Solution:

Since

AC = BC

If two sides of a triangle is equal than it is a isosceles triangle.

It means

∡A = ∡B = 56°

Since base angle of isosceles triangle are equal.

Again

In ΔABC

∡A+ ∡B + ∡C =180°

Since sum of interior angle of a triangle is 180°

substituting value

56+56+x=180

x=180-56-56

x=68°

Therefore, value of x is 68°