Roda1Bertycorina6 Roda1Bertycorina6
  • 02-11-2016
  • Mathematics
contestada

Angles that are congruent and supplementary must be
a. acute angles.
b. obtuse angles.
c. straight angles.
d. right angles.

Respuesta :

JeanaShupp
JeanaShupp JeanaShupp
  • 26-03-2019

Answer: d. right angles.

Step-by-step explanation:

  • If the sum of two angles is [tex]180^{\circ}[/tex], then they are called as supplementary angles.
  • If two angles are equal then they are said to be congruent.

Let a and b be two angles which are congruent and supplementary

Then a=b [congruent]

And [tex]a+b=180^{\circ}[/tex]

[tex]2a=180^{\circ}\\\Rightarrow a=90^{\circ}[/tex]

Hence, the angles  that are congruent and supplementary must be right angles.

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