Advertisements
Advertisements
Question
In ∆ABC, ∠A = ∠B = 62° ; find ∠C.
Advertisements
Solution
∠A + ∠B + ∠C= 180°
⇒ 62° + 62° + ∠C = 180°
⇒ 124° + ∠C = 180°
⇒ ∠C = 180° – 124°
⇒∠C = 56°
APPEARS IN
RELATED QUESTIONS
In a Δ ABC, AD bisects ∠A and ∠C > ∠B. Prove that ∠ADB > ∠ADC.
Calculate the unknown marked angles of the following figure :
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.
17 cm, 7 cm, 8 cm
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.
15 cm, 20 cm, 25 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 |
Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO is produced to a point M. Prove that ∠MOC = ∠ABC.
P is a point on the bisector of ∠ABC. If the line through P, parallel to BA meet BC at Q, prove that BPQ is an isosceles triangle.
In the following figure, ∠BAC = 90° and AD ⊥ BC. The number of right triangles in the figure is ______.
In the following figure, points lying in the interior of the triangle PQR are ______, that in the exterior are ______ and that on the triangle itself are ______.
Jincy used these shapes to make drawings of fish.
Now you also use some shapes to draw the different sea animals shown below.
Sea urchin
Lobster
Eel
Red snapper
Octopus
Clam
Parrotfish
Prawn
Cuttlefish
Jellyfish
Squid
Silver pomfret
Crab
