Advertisements
Advertisements
प्रश्न
Find the value of x in the given triangle
Advertisements
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 exterior angle x in the following diagram:
∠ACD is an exterior angle of ∆ABC. The measures of ∠A and ∠B are equal. If m∠ACD = 140°, find the measures of the angles ∠A and ∠B.
Find angle x in Fig
Using the given figure find the value of x.
Find the value of ‘x’ in the given figure
In the given figure find the values of x and y
In the following figure,
- ∠TPQ = ∠ _____ + ∠ _____.
- ∠UQR = ∠ _____ + ∠ _____.
- ∠PRS = ∠ _____ + ∠ _____.
In the following figure, ∆PQR is right-angled at P. U and T are the points on line QRF. If QP || ST and US || RP, find ∠S.
What is the measure of an exterior angle if its adjacent interior angle measures 65∘?
In the context of a triangle, which term describes the relationship between an exterior angle and its adjacent interior angle?
