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Question
Two angles of the triangle are given. Find the third angle.
75°, 35°
Solution
75°, 35°
Let the third angle be x
Sum of the angles 180°
75° + 35° + x = 180°
110 + x = 180°
x = 180° – 110°
x = 70°
Third angle = 70°
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Using the given information, write the type of triangle in the table given below
S.No | ∠1 | ∠2 | ∠3 | Type of triangle based on angles | Type of triangle based on sides |
i. | 60° | 40° | 80° | Acute angled triangle. | Scalene Triangle |
ii. | 50° | 50° | 80° | ||
iii. | 45° | 45° | 90° | ||
iv. | 55° | 45° | 80° | ||
v. | 75° | 35° | 70° | ||
vi. | 60° | 30° | 90° | ||
vii. | 25° | 64° | 91° | ||
viii. | 120° | 30° | 30° |
Is a triangle possible with the angles 90°, 90° and 0°? Why?
State the following statement is true or false? Why?
Every equilateral triangle is an isosceles triangle
If one angle of an isosceles triangle is 70°, then find the possibilities for the other two angles
State the following statement is true or false? Why?
Every isosceles triangle is an equilateral triangle
Study the given figure and identify the following triangles.
(a) equilateral triangle
(b) isosceles triangles
(c) scalene triangles
(d) acute triangles
(e) obtuse triangles
(f) right triangles