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4 years ago

Which pair of angles is supplementary? ∠RXZ and ∠YXZ ∠PXQ and ∠RXS ∠YZX and ∠UZT ∠WZX and ∠WYX

Mathematics

2 answers:

Stella [2.4K]4 years ago

6 0

Answer:

∠RXZ and ∠YXZ

Step-by-step explanation:

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rusak2 [61]4 years ago

6 0

Answer:

∠RXZ and ∠YXZ is supplementary.

Step-by-step explanation:

We have to choose the pair of angles from the given options which are supplementary.

Two Angles are supplementary when they add up to 180 degrees.

As we know the linear pair are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 so linear pair of angles must add up to 180 degrees.

∠RXZ and ∠YXZ pair of angles formed on the straight line RY when line XZ intersects and angle on the straight line is 180 hence, supplementary.

Rest three pair of angles not formed on straight line.

Therefore, option 1 is correct.

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1 year ago

What is m∠A ? Enter your answer in the box. ° Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 deg

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Answer: The measure of angle A is 60 degree.

Explanation:

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According to angle sum property, the sum of angles of a triangle is always 180 degree.

In triangle CDE,

$\angle ECD+\angle CDE+\angle DEC=180^{\circ}$

$43^{\circ}+35^{\circ}+\angle DEC=180^{\circ}$

$78^{\circ}+\angle DEC=180^{\circ}$

$\angle DEC=180^{\circ}-78^{\circ}$

$\angle DEC=102^{\circ}$

According to opposite vertical angle property.

$\angle AEB=\angle DEC$

$\angle AEB=102^{\circ}$

Use angle sum property is triangle ABE.

$\angle ABE+\angle BEA+\angle EAB=180^{\circ}$

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Therefore, the measure of angle A is 60 degree.

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