Mathematics: Exterior angle theorem A) 83° B) 68° C) 97° D)62°

Exterior angle theorem A) 83° B) 68° C) 97° D)62° - id8368976211602193, wirchakethan23

eternity88091

01.04.2021

A: 83°

Step-by-step explanation:

The exterior angle theorem states that the sum of the two interior angles of a triangle is equal to the exterior angle of that same triangle.

In this case, the two opposite interior angles to the exterior angle are: 52° and 31°.

Sum of them = 52 + 31 = 83°

0,0(0 оценок)

Nathaliasmiles

01.04.2022

$x \approx 51.058\°$

or in radians

$x \approx 0.8911$

Step-by-step explanation:

We have the opposite side of angle x and hypotenuse of the right triangle.

$\text{sin}(\theta)= \frac{\text{opposite}}{\text{hypotenuse}}$

$\text{sin}(x)= \frac{14}{18}$

$\text{sin}(x)= \frac{7}{9}$

$x \approx 51.058\°$

Let's find the other side.

$18^2=14^2+b^2\\324=196+b^2\\b=\sqrt{128}$

$b=8\sqrt{2}$

0,0(0 оценок)