Advertisements
Advertisements
प्रश्न
From the given figure find the value of y
Advertisements
उत्तर
From the figure,
∠ACB = ∠XCY ...[Vertically opposite angles]
ACB = 48° ...(1)
In ∆ABC, ∠CBD is the exterior angle at B
Exterior angle = Sum of interior opposite angles
∠CBD = ∠BAC + ∠ACB
∠CBE + ∠EBD = 57° + 48°
65° + ∠EBD = 105°
∠EBD = 105° + 65° = 40° ...(2)
In ∆EBD, y is the exterior angle at D.
y = ∠EBD + ∠BED ...[∵ Exterior angle = Sum of opposite interior angles]
y = 40° + 97° ...[∵ From (2)]
y = 137°
APPEARS IN
संबंधित प्रश्न
Find the value of the unknown exterior angle x in the following diagram:
Find the value of x in the given triangle
Using the diagram find the value of x.
In the figure find the value of x
If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is ______.
In ∆PQR, if ∠P = 60°, and ∠Q = 40°, then the exterior angle formed by producing QR is equal to ______.
In the following figure,
- ∠TPQ = ∠ _____ + ∠ _____.
- ∠UQR = ∠ _____ + ∠ _____.
- ∠PRS = ∠ _____ + ∠ _____.
In the given figure, ∠UQR = ∠______ + ∠ ______
In ∆ABC, if ∠A = ∠C, and exterior angle ABX = 140°, then find the angles of the triangle.
According to the Exterior Angle Rule, the measure of an exterior angle of a triangle is equal to the sum of which two angles?
