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प्रश्न
Find, giving a reason, the unknown marked angles, in a triangle drawn below:
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उत्तर
We know that,
Exterior angle of a triangle is always equal to the sum of its two interior opposite angles (property)
∴ 110° = x + 30° (by property)
⇒ x = 110°- 30°
x = 80°
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संबंधित प्रश्न
The angles of a triangle are arranged in ascending order of magnitude. If the difference
between two consecutive angles is 10°, find the three angles.
If the bisectors of the base angles of a triangle enclose an angle of 135°, prove that the triangle is a right triangle.
Determine the measure of each of the equal angles of a right-angled isosceles triangle.
OR
ABC is a right-angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.
Is the following statement true and false :
A triangle can have two obtuse angles.
In Δ ABC, BD⊥ AC and CE ⊥ AB. If BD and CE intersect at O, prove that ∠BOC = 180° − A.
In a triangle ABC, ∠A = 45° and ∠B = 75°, find ∠C.
Find the unknown marked angles in the given figure:
Can a triangle together have the following angles?
55°, 55° and 80°
The length of the sides of the triangle is given. Say what types of triangles they are 3.4 cm, 3.4 cm, 5 cm.
Match the following:
| Column A | Column B |
| (i) No sides are equal | Isosceles triangle |
| (ii) One right angle | Scalene triangle |
| (iii) One obtuse angle | Right angled triangle |
| (iv) Two sides of equal length | Equilateral triangle |
| (v) All sides are equal | Obtuse angled triangle |
