Advertisements
Advertisements
प्रश्न
In a triangle ABC, the measure of angle A is 40° less than the measure of angle B and 50° less than that of angle C. Find the measure of ∠A.
उत्तर
According to the question,
Measure of ∠A = ∠B = 40°
Measure of ∠C = ∠B – 40° + 50°
We know that, the sum of all three angles in a triangle is equal to 180°
i.e. ∠A + ∠B + = 180°°
⇒ (∠B – 40°) + ∠B + (∠B – 40° + 50°) = 180°
⇒ 3∠B – 30° = 180°
⇒ 3∠B = 210°
∴ ∠B = `210^circ/3` = 70°
So, the measure of ∠A = 70° – 40° = 30°.
APPEARS IN
संबंधित प्रश्न
Find the value of the unknown x and y in the following diagram:
In the given figure find m∠P.
In ∆ABC, if ∠B is 3 times ∠A and ∠C is 2 times ∠A, then find the angle
Triangle DEF of the given figure is a right triangle with ∠E = 90°. What type of angles are ∠D and ∠F?
In an isosceles triangle, one angle is 70°. The other two angles are of ______.
- 55° and 55°
- 70° and 40°
- any measure
In the given option(s) which of the above statement(s) are true?
In a triangle, one angle is of 90°. Then ______.
- The other two angles are of 45° each
- In remaining two angles, one angle is 90° and other is 45°
- Remaining two angles are complementary
In the given option(s) which is true?
If two angles of a triangle are 60° each, then the triangle is ______.
The sum of the measures of three angles of a triangle is greater than 180°.
In a right-angled triangle if an angle measures 35°, then find the measure of the third angle.
Find the values of x and y in the given figure.
