Advertisements
Advertisements
प्रश्न
Find the angles marked with a question mark shown in Fig. 17.27
Advertisements
उत्तर
\[\text{ In } \bigtriangleup CEB: \]
\[\angle ECB + \angle CBE + \angle BEC = 180° (\text{ angle sum property of a triangle })\]
\[40° + 90° + \angle EBC = 180° \]
\[ \therefore \angle EBC = 50° \]
\[\text{ Also }, \angle EBC = \angle ADC = 50° \left( \text{ opposite angle of a parallelogram } \right)\]
\[\text{ In } \bigtriangleup FDC: \]
\[\angle FDC + \angle DCF + \angle CFD = 180° \]
\[50° + 90° + \angle DCF = 180° \]
\[ \therefore \angle DCF = 40° \]
\[\text{ Now }, \angle BCE + \angle ECF + \angle FCD + \angle FDC = 180° (\text{ in a parallelogram, the sum of alternate angles is } 180° )\]
\[50° + 40° + \angle ECF + 40° = 180° \]
\[\angle ECF = 180° - 50° + 40° - 40° = 50° \]
संबंधित प्रश्न
The following figure is parallelogram. Find the degree values of the unknown x, y, z.
Two adjacent angles of a parallelogram are as 1 : 2. Find the measures of all the angles of the parallelogram.
The diagonals of a parallelogram are not perpendicular. Is it a rhombus? Why or why not?
Draw a rhombus, having each side of length 3.5 cm and one of the angles as 40°.
Measure of one angle of a rhombus is 50°, find the measures of remaining three angles.
ABCD is a rhombus. If ∠BCA = 35°. find ∠ADC.
If the diagonal of a rhombus are equal, then the rhombus is a
If the adjacent sides of a parallelogram are equal then parallelogram is a ______.
ABCD is a rhombus such that the perpendicular bisector of AB passes through D. Find the angles of the rhombus.
Hint: Join BD. Then ∆ABD is equilateral.
Construct a rhombus whose side is 5 cm and one angle is of 60°.
