Question

A

Answer 1

The value of x will be equal to x = 79.

What is the triangle?

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

For an isosceles triangle, the value of two opposite angles is equal and the opposite sides are also equal.

The Sum of the three angles is equal to 180 degrees so the third angle will be calculated as:-

Angle = 180 - 142 - 19 = 19

Now applying Lami's theorem in the triangle we will get the third side.

$\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}$

$\dfrac{Sin 19}{42}= \dfrac{Sin142}{x}$

$x = \dfrac{42\times Sin 142}{Sin19}$

x = 79

Therefore the value of x will be equal to x = 79.

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