a) 45°, 45°, 90°
b) 30°, 50°, 90°
c) 60°, 30°, 90°
d) 120°, 45°, 35°
correct answer is: a) 45°, 45°, 90°
Explanation
We know,
The value of three angles of a triangle is 180°
Given, the ratio of the three angles of a triangle be 1\;:\;1\;:\;2
Let, the measures of the three angles of the triangle be :
x°, x° and 2x° .
According to the question,
x° + x° + 2x° = 180°
\rightarrow 4x° = 180°
\rightarrow x° = \large\frac{180^\circ}4
\rightarrow x° = 45°
So that, the measures of the three angles are 45°, 45° and 90°
Ans: The triangle three angles are 45°, 45° and 90° .
Other ways to phrase this particular math query are:
- Calculate the measures of the angles in a triangle with a ratio of 1 : 1 : 2 for its angles.
- Find the measures of the angles in a triangle given their ratio is 1 : 1 : 2.
- If the ratio of the angles in a triangle is 1 : 1 : 2, what are the measures of the angles?