Respuesta :
Answer:
see explanation
Step-by-step explanation:
sum the parts of the ratio, 1 + 2 + 3 = 6 parts
Divide 180° ( sum of angles in a triangle ) by 6
180° ÷ 6 = 30° ← value of 1 part of the ratio , then
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
The angles in the triangle are 30°, 60°, 90°
Then the triangle is right angled
Answer:
The angles are 30°, 60° and 90°.
Step-by-step explanation:
Hint :
- sum of the angles in triangle = 180°.
- The triangle is a right-angled triangle.
Answer:
Let missing angles be [tex]x[/tex], [tex]2x[/tex].
As the triangle is right-angled triangle.
[tex]x + 2x + {90}^{o} = {180}^{o} [/tex]
[tex]3x = {180}^{o} - {90}^{o} [/tex]
[tex]3x = {90}^{o} [/tex]
[tex]x = \frac{90 ^{o} }{3} [/tex]
[tex]x = {30}^{o} [/tex]
[tex]2x = 30 \times 2 \\ = {60 }^{o} [/tex]
Check:
- 30° + 60° + 90° = 180°.
