Advertisements
Advertisements
Question
Find the unknown marked angles in the given figure:

Advertisements
Solution
In the figure,
∠A + ∠B + ∠C = 180° .....(Sum of angles of a triangle)
b° + 50° + b° = 180°
⇒ 2b° + 50° = 180°
⇒ 2b° = 180° − 50° = 130°
⇒ b° = `(130°)/2=65°`
Hence ∠A = b° = 65°
and ∠C = b° = 65°
APPEARS IN
RELATED QUESTIONS
Two angles of a triangle are equal and the third angle is greater than each of those angles
by 30°. Determine all the angles of the triangle.
In the given figure, AB || DE. Find ∠ACD.

Is the following statement true and false :
All the angles of a triangle can be equal to 60°.
Is the following statement true and false :
A triangle can have two obtuse angles.
Is the following statement true and false :
An exterior angle of a triangle is equal to the sum of the two interior opposite angles.
State, if the triangle is possible with the following angles :
125°, 40°, and 15°
Calculate the unknown marked angles of the following figure :

Find the unknown marked angles in the given figure:

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 |
In the following figure, ∠BAC = 90° and AD ⊥ BC. The number of right triangles in the figure is ______.

