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:
In the isosceles triangle ABC, ∠A, and ∠B are equal. ∠ACD is an exterior angle of ∆ABC. The measures of ∠ACB and ∠ACD are (3x − 17)° and (8x + 10)°, respectively. Find the measures of ∠ACB and ∠ACD. Also find the measures of ∠A and ∠B.
In ∆JKL, if ∠J = 60° and ∠K = 40°, then find the value of exterior angle formed by extending the side KL
In the given figure BD = BC, 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 ______.
In the following figure, if AB || CD, then ______.
In ∆ABC, ∠Α = 50°, ∠B = 70° and bisector of ∠C meets AB in D (see figure). Measure of ∠ADC is ______.
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.
In the context of a triangle, which term describes the relationship between an exterior angle and its adjacent interior angle?
