Advertisements
Advertisements
Question
Find the value of x in the given triangle
Advertisements
Solution
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
RELATED QUESTIONS
Find the value of the unknown interior angle x in the following figure.
Find the value of the unknown interior angle x in the following figure.
∠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.
Using the diagram find the value of x.
In the given figure find the value of x
In the following figure, PQ = PR, RS = RQ and ST || QR. If the exterior angle RPU is 140°, then the measure of angle TSR is ______.
In ∆PQR, if ∠P = 60°, and ∠Q = 40°, then the exterior angle formed by producing QR is equal to ______.
The measures of ∠x and ∠y in the following figure are respectively.
In the following figure,
- ∠TPQ = ∠ _____ + ∠ _____.
- ∠UQR = ∠ _____ + ∠ _____.
- ∠PRS = ∠ _____ + ∠ _____.
In the given figure, ∠UQR = ∠______ + ∠ ______
