Question

23) ABCD is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.
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Answer 1

Answer:Since HOPE is a parallelogram, therefore, HE || OP and

HO EP

Now, HE || OP and transversal HO intersects them.

.. ZEHO = /POX. Corresponding angles are equal]

240° + z = 70° ⇒ z = 70° - 40° = 30°

Again, HE || OP and transversal HP intersects them. ..ZOPH = ZEHP [. Alternate angles are equal)

⇒y=40°

Since opposite angles are equal in a parallelogram.

..ZHEP = ZHOP

⇒x=180° - ZPOX = 180° 70° = 110⁰

Hence, x = 110°, y = 40° and z = 30°

Step-by-step explanation:

Answer 2

Step-by-step explanation:

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