Question

two angle of a triangle are equal and third angle is 94°, then one of the equal is​

Answer 1

Step-by-step explanation:

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Answer 2

Answer :-

• One of the equal angles = 43°.

Given :-

• Two angles of a triangle are equal.
• The third angle = 94°.

To find :-

• One of the equal angles.

Step-by-step explanation :-

We know that :-

$\underline{\boxed{\sf Sum \: of \: all \: angles \: in \: a \: triangle = {180}^{\circ}.}}$

Here,

• Two angles are equal.
• Third angle = 94°.

• Let the first angle be x.
• Then the second angle will also be x, since they are equal.

Now, all these angles must be equal to 180°.

$\sf \implies x + x + 94^{\circ} = 180^{\circ}$

• Adding x and x,

$\sf\implies 2x + 94^{\circ} = 180^{\circ}$

• Transposing 94° from LHS to RHS, changing it's sign,

$\sf\implies2x = 180^{\circ} - 94^{\circ}$

• Subtracting 94° from 180°,

$\sf\implies2x = 86^{\circ}$

• Transposing 2 from LHS to RHS, changing it's sign,

$\sf \implies x = \dfrac{86^{\circ}}{2}$

• Dividing 86° by 2,

$\underline {\boxed{\sf\implies x = 43^{\circ}.}}$

• The value of x = 43°.

Thus, one of the equal angles = 43°.