Advertisements
Advertisements
प्रश्न
In the following figure, BA is parallel to CD. Find the angles a, b and c:
उत्तर
In the given figure,
ABC is a triangle and CD || BA, BC is produced to E.
∠A = 60°, ∠B = 70°
∵ AB || DC and BE is its transversal
∴ ∠DCE = ∠ABC (Corresponding angles)
⇒ a = 70°
∴ a = 70°
Similarly, AB || DC and AC is its transversal
∴ ∠ACD = ∠BAC (Alternate angles)
⇒ b = 60°
∴ b = 60°
But a + b + c = 180° (Straight line angle)
⇒ 70° + 60° + c = 180°
⇒ 130° + c = 180°
⇒ c = 180° - 130° = 50°
Hence a = 70°, b = 60° and c = 50°
APPEARS IN
संबंधित प्रश्न
In the figure given below, find the measure of the angles denoted by x,y, z,p,q and r.
In your note-book copy the following angle using ruler and a pair compass only.
In your note-book copy the following angle using ruler and a pair compass only.
Construct the 30° angle, using ruler and a pair of compass only.
Construct the 120° angle, using ruler and a pair of compass only.
Construct the 15° angle, using ruler and a pair of compass only.
Draw a line segment PQ = 8cm. Construct the perpendicular bisector of the line segment PQ. Let the perpendicular bisector drawn meet PQ at point R. Measure the lengths of PR and QR. Is PR = QR?
In the following figure, AB is parallel to CD; find the values of angles x, y and z:
In the following figures, PQ is parallel to RS. Find the angles a, b and c:
Without using set squares, construct angle ABC = 60° in which AB = BC = 5 cm. Join A and C and measure the length of AC.
