Advertisements
Advertisements
प्रश्न
Find the value of x in the given triangle
उत्तर
In ∆ABC, given B = 3x – 8°
∠XAZ = ∠BAC ...[∵ vertically opposite angles]
8x + 7 + ∠BAC
i.e., In ∆ABC, ∠A = 8x + 7
Exterior angle ∠XCY = 120°
Exterior angle is equal to the sum of the interior opposite angles
∠A + ∠B = 120°
8x + 7 + 3x – 8 = 120°
8x + 3x = 120° + 8 – 7
11x = 121°
x = `(121^circ)/11`
x = 11°
APPEARS IN
संबंधित प्रश्न
Find the value of the unknown interior angle x in the following figure.
Using the diagram find the value of x.
An exterior angle of a triangle is 70° and two interior opposite angles are equal. Then measure of each of these angle will be
In ∆JKL, if ∠J = 60° and ∠K = 40°, then find the value of exterior angle formed by extending the side KL
If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is ______.
Which of the following triplets cannot be the angles of a triangle?
The measures of ∠x and ∠y in the given figure are respectively.
In ∆ABC, if ∠A = ∠C, and exterior angle ABX = 140°, then find the angles of the triangle.
In the given figure, if RP = RQ, find the value of x.
In the given figure, if y is five times x, find the value of z.
