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 the unknown interior angle x in the following figure.
If the exterior angle of a triangle is 140° and its interior opposite angles are equal, find all the interior angles of the triangle
From the given figure, the value of x is ______.
In the following figure, the value of ∠A + ∠B + ∠C + ∠D + ∠E + ∠F is ______.
In the given figure, ∠UQR = ∠______ + ∠ ______
In the following figure QP || RT. Find the values of x and y.
Find the measure of ∠A in the following figure.
In the following figure, if y is five times x, find the value of z.
If all three sides of a triangle are extended, how many distinct exterior angles are formed in total?
