Advertisements
Advertisements
Question
Calculate the unknown marked angles of the following figure :
Advertisements
Solution
We know that the sum of three angles of a triangle is 180°, therefore
In figure,
a + 90° + 40° = 180°
⇒ a + 130° = 180°
⇒ a = 180° − 130° = 50°
Hence a = 50°
APPEARS IN
RELATED QUESTIONS
If the angles of a triangle are in the ratio 1: 2 : 3, determine three angles.
Is the following statement true and false :
Sum of the three angles of a triangle is 180 .
In the given figure, AB divides ∠DAC in the ratio 1 : 3 and AB = DB. Determine the value of x.
If two acute angles of a right triangle are equal, then each acute is equal to
State, if the triangle is possible with the following angles :
20°, 70°, and 90°
If the angles of a triangle are equal, find its angles.
The angle of a vertex of an isosceles triangle is 100°. Find its base angles.
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 |
Prove that in a triangle, other than an equilateral triangle, angle opposite the longest side is greater than `2/3` of a right angle.
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 ______.
