Advertisements
Advertisements
Question
State exterior angle theorem.
Advertisements
Solution
Exterior angle theorem states that, if a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles.

Thus, in ΔABC
∠ACD = ∠A +∠B
APPEARS IN
RELATED QUESTIONS
State, if the triangle is possible with the following angles :
40°, 130°, and 20°
Find the value of the angle in the given figure:

Find the unknown marked angles in the given figure:

One angle of a right-angled triangle is 70°. Find the other acute angle.
In ∆ABC, C = 56° C = 56° ∠B = ∠C and ∠A = 100° ; find ∠B.
Classify the following triangle according to sides:

The length of the sides of the triangle is given. Say what types of triangles they are 3 cm, 4 cm, 5 cm.
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.
Prove that in a triangle, other than an equilateral triangle, angle opposite the longest side is greater than `2/3` of a right angle.
What is the sum of the measures of the interior angles of any triangle, △ABC?
