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If two angles of a triangle have equal measures and the third angle measures 90°, what are the angle measures of the triangle?
A. 60°, 60°, 60°
B. 45°, 90°, 90°
c. 30°, 30°, 90°
D. 45°, 45°, 90°

Respuesta :

marielygotjugo

the answer is D cuz 45+45=90 and 90+90=180

Answer:

D. [tex]45^{o}[/tex], [tex]45^{o}[/tex], [tex]90^{o}[/tex]

Step-by-step explanation:

Angles of a triangle always add u to [tex]180^{o}[/tex]. If one angle measures [tex]90^{o}[/tex], then the two remaining angles must add up to 180 - 90 = 90.

Since the two angles have equal measures, we can set up an equation:

2a = 90 (where a = angle of one equal measure)

a = 45.

Therefore, the angle measures of the triangle are [tex]45^{o}[/tex], [tex]45^{o}[/tex], [tex]90^{o}[/tex], or answer choice D.

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