One angle of an isosceles triangle measures 90°. Which other angles could be in that isosceles triangle?
2 answers:
Answer:
45, 45
Step-by-step explanation:
We know the three angles of a triangle add to 180
We have one angle is 90, let the other angles be x (They must be the same since it is isosceles)
x+x+90 = 180
2x+90 =180
Subtract 90 from each side
2x+90-90=180-90
2x = 90
Divide by 2
2x/2 = 90/2
x = 45
The other 2 angles are 45 degrees each
Hello from MrBillDoesMath!
Answer:
45 (all three: 45, 45, 90)
Discussion:
Let "x" be the base angle in the isosceles triangle. As base angles are equal in an isosceles triangle and a triangle contains 180 degrees:
x + x + 90 = 180 =>
2x + 90 = 180 => subtract 90 from both sides
2x = 180 -90 =>
2x = 90 => divide both sides by 2
x = 45
Thank you,
MrB
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