Advertisements
Advertisements
Question
Consider the given parallelograms. Find the values of the unknowns x, y, z.
Advertisements
Solution
x = 90° (Vertically opposite angles)
x + y + 30° = 180° (Angle sum property of triangles)
90° + 30° + y = 180°
120° + y = 180°
y = 180° − 120° = 60° ...[Since alternate angles are equal in a parallelogram]
y = z = 60°
Thus x = 90°, y = 60° and z = 60°
APPEARS IN
RELATED QUESTIONS
Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.
ABCD is a parallelogram. What kind of quadrilateral is it if: AC is perpendicular to BD but is not equal to it?
In parallelogram ABCD, E is the mid-point of AD and F is the mid-point of BC. Prove that BFDE is a parallelogram.
Use the information given in the alongside diagram to find the value of x, y, and z.
Which of the following figures satisfy the following properties?
- All sides are congruent.
- All angles are right angles.
- Opposite sides are parallel.
The angle between the two altitudes of a parallelogram through the same vertex of an obtuse angle of the parallelogram is 30°. The measure of the obtuse angle is ______.
All rectangles are parallelograms.
In parallelogram LOST, SN ⊥ OL and SM ⊥ LT. Find ∠STM, ∠SON and ∠NSM.
Find the values of x and y in the following parallelogram.
Construct a parallelogram HOME with HO = 6 cm, HE = 4 cm and OE = 3 cm.
