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I need help asap, dont just guess please i rlly need dis math grade 2 come up
Describe all situations where vertical angles are also supplementary.
Question content area bottom
Part 1
Choose the correct answer below.
A.
Vertical angles are supplementary if exactly one is an obtuse angle.
B.
Vertical angles are supplementary if both are obtuse angles.
C.
Vertical angles are supplementary if both are right angles.
D.
Vertical angles are supplementary if exactly one is an acute angle.
E.
Vertical angles are supplementary if both are acute angles.
F.
Vertical angles are supplementary if exactly one is a right angle.
G.
Vertical angles cannot be supplementary. When two lines​ intersect, only adjacent angles are supplementary.
Yo somebody please help me


Sagot :

Answer:

  C.  Vertical angles are supplementary if both are right angles.

Step-by-step explanation:

You want to know the conditions when vertical angles are supplementary.

Supplementary angles

Two angles are supplementary when they total 180°.

Vertical angles

Vertical angles are formed when two lines cross. They share a vertex, but not a side. Their sides are opposite rays.

Vertical angles are always congruent.

Supplementary vertical angles

If x is the measure of one of two supplementary vertical angles, then we must have ...

  x + x = 180°

  2x = 180° . . . . . collect terms

  x = 90° . . . . . . . divide by 2

Vertical angles will be supplementary if and only if they are both right angles.