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)
x° + 90° + x° = 180°
⇒ 2x°+ 90° = 180°
⇒ 2x° = 180° − 90°
⇒ 2x°= 90°
⇒ x° = `(90° )/2=45° `
Hence ∠A = x° = 45°
and ∠C = x° = 45°
APPEARS IN
RELATED QUESTIONS
If the bisectors of the base angles of a triangle enclose an angle of 135°, prove that the triangle is a right triangle.
Is the following statement true and false :
A triangle can have two right angles.
In Δ ABC, if u∠B = 60°, ∠C = 80° and the bisectors of angles ∠ABC and ∠ACB meet at a point O, then find the measure of ∠BOC.
State, if the triangle is possible with the following angles :
40°, 130°, and 20°
Can a triangle together have the following angles?
33°, 74° and 73°
Find, giving a reason, the unknown marked angles, in a triangle drawn below:

Classify the following triangle according to sides:

Classify the following triangle according to angle:

The length of the three segments is given for constructing a triangle. Say whether a triangle with these sides can be drawn. Give the reason for your answer.
9 cm, 6 cm, 16 cm
Can you draw a triangle with 25°, 65° and 80° as angles?
