Question
Easy

D is a point on side AB of a ∆ABC such that CD is the bisector of ∠ACB. If ∠A=50° and ∠B=70°, then ∠ADC is equal to :

1
30°
2
50°
3
70°
4
100°
Question Details
Time to Solve: 12
Exam: CTET
Level/Paper: CTET_P2
Chapter: 2D Geometry
Topic: Triangles
Correct Answer
Option D
Explanation

To determine why Option 4 (100°) is the correct answer for ∠ADC, let's analyze the given information and apply geometric principles. ### Explanation: 1. Triangle Angle Sum Property: - In any triangle, the sum of the interior angles is always 180°. - For triangle ∆ABC, we have: \[ ∠A + ∠B + ∠C = 180° \] - Given ∠A = 50° and ∠B = 70°, we can find ∠C: \[…Read More

Similar Questions from REET Exam - Paper 1 - Year 2018
Question 1
Easy

Source :

2D Geometry
In triangle PQR, ∠P=55° and QR=18 cm. In which of the following cases, APQR can be an obtuse scalene triangle ?
Chapter :
2D Geometry
Topic :
Triangles
Question 2
Easy

Source :

2D Geometry
M is a point on side AB of a triangle ABC such that AM = BM = CM. If angles A and B are respectively…
Chapter :
2D Geometry
Topic :
Triangles
Question 3
Easy

Source :

2D Geometry
Area of a right triangle is 240 cm². If its one side other than the hypotenuse is 30 cm, then perimeter (in cm) of the…
Chapter :
2D Geometry
Topic :
Triangles
Question 4
Easy

Source :

2D Geometry
The sides of four triangles are given below : (i) 20 cm, 22 cm, 24 cm (ii) 15 cm, 32 cm, 37 cm (iii) 11…
Chapter :
2D Geometry
Topic :
Pythagorean Theorem