3 years ago

An angle measures 166° more than the measure of a supplementary angle. What is the measure of each angle?

1 answer:

5 0

Supplementary means they add up to 180

angle 1 = x
angle 2 = x + 166

so x + x + 166 = 180
2x = 14
x = 7

so angle 1 = 7 angle 2 = x + 166 = 173

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If angle 2 measures 155 degrees in the image below and what is the measurement of angle 1

Degger [83]

<h2>Answer:</h2>

<em>Angle 1 measures 25 degrees</em>

<h2>Explanation:</h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll assume the diagram shown below. In that figure, we know that:

$\angle 1=? \\ \\ \angle 2=155^{\circ}$

The figure shows that these two angles are supplementary, so they add up to 180 degrees. Therefore:

$\angle 1+\angle 2=180^{\circ} \\ \\ Substituting \ \angle 2=155^{\circ}: \\ \\ \angle 1+155^{\circ}=180^{\circ} \\ \\ \\ Isolating \ \angle 1: \\ \\ \angle 1=180^{\circ}-155^{\circ} \\ \\ \boxed{\angle 1=25^{\circ}}$