Advertisements
Advertisements
Question
In the adjacent figure HOPE is a parallelogram. Find the angle measures x,y and z. State the geometrical truths you use to find them.
Advertisements
Solution
\[\angle HOP + 70°= 180° (\text{ linear pair })\]
\[\angle HOP = 180°- 70°= 110°\]
\[x = \angle HOP = 110° (\text{ opposite angles of a parallelogram are equal })\]
\[\angle EHP + \angle HEP = 180°(\text{ sum of adjacent angles of a parallelogram is } 180°)\]
\[110° + 40° + z = 180°\]
\[z = 180° - 150°= 30°\]
\[y = 40° \left( \text{ alternate angles }\right)\]
APPEARS IN
RELATED QUESTIONS
The following figure is parallelogram. Find the degree values of the unknowns x, y, z.
The following figure is parallelogram. Find the degree values of the unknown x, y, z.
Can the following figure be parallelogram. Justify your answer.
In the following figure GUNS and RUNS are parallelogram. Find x and y.
Fill in the blank, in the following, so as to make the statement true:
A rhombus is a parallelogram in which ......
Fill in the blank, inthe following, so as to make the statement true:
A rhombus has all its sides of ...... length.
The diagonals of a parallelogram are not perpendicular. Is it a rhombus? Why or why not?
If the diagonal of a rhombus are equal, then the rhombus is a
A rhombus is a parallelogram in which ______ sides are equal.
All rhombuses are squares.
