Using the Triangle Sum Theorem, find x and the missing angles (2x +1) (5x +5) x= Angle (2x+1) = Angle (5x+5) =
1 answer:
Answer:
x = 12
(2x + 1)° = 25°
(5x + 5)° = 65°
Step-by-step explanation:
By the property of a triangle,
Sum of all angles of a triangle is 180°
In the given right triangle,
(2x + 1)° + 90° + (5x + 5)°= 180°
7x + 96 = 180
7x = 180 - 96
x =
x = 12
Angle (2x + 1)° = 2(12) + 1 = 25°
Angle (5x + 5)° = 5(12) + 5 = 65°
Therefore, all three angles of the right triangle are 25°, 90° and 65°.
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