Question

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°

Answer 1

D.
`45^(o)`,
`45^(o)`,
`90^(o)`

Explanation:

Angles of a triangle always add u to
`180^(o)`. If one angle measures
`90^(o)`, 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
`45^(o)`,
`45^(o)`,
`90^(o)`, or answer choice D.

Answer 2

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