I need the answer and maybe someone can tell me how to do it? Please and Thanks!! :))

Mathematics

2 answers:

Oksi-84 [34.3K]3 years ago

5 0

Answer:

x = 83

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

126 = x+43

Subtract 43 from each side

126-43 = x+43-43

83 = x

UNO [17]3 years ago

4 0

Answer:

Step-by-step explanation:

The 126 angle is an exterior angle of the triangle.

The 43 and x angles are the two remote interior angles of the 126 angle.

<em>Theorem:</em>

<em>The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.</em>

x + 43 = 126

x = 83

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3 years ago

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<h2>Answer:</h2><h2 />

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$\boxed{\angle DBC=x=60^{\circ}}$

<h2>Explanation:</h2>

Hello! Remember to write complete questions in order to get good and exact answers. Here the figure is missing so I'll assume the arc measure of DBC is given in radian and you want it in degrees. By definition, an arc's measure is <em>the measure of its central angle </em>being a central angle an <em>angle between two radii in a circle</em>. Suppose that angle measures:

$\angle DBC=\frac{\pi}{3}\ radian \\ \\ \\ So, \ by \ rule \ of \ three: \\\\ \\ \pi \ radian \rightarrow 180 \ degrees \\ \\ \pi/3 \ radian \rightarrow x \ degrees \\ \\ \\ x =\frac{180\pi}{3\pi}=60^{\circ} \\ \\ \\ Finally: \\ \\ \boxed{\angle DBC=x=60^{\circ}}$