Pinadadali ng Imhr.ca ang paghahanap ng mga solusyon sa mga pang-araw-araw at masalimuot na katanungan. Maranasan ang kadalian ng pagkuha ng mabilis at eksaktong sagot sa iyong mga tanong mula sa mga propesyonal sa aming platform. Kumuha ng detalyado at eksaktong sagot sa iyong mga tanong mula sa dedikadong komunidad ng mga eksperto sa aming Q&A platform.

At the right is a parallelogram ABCD.Consider each given information and answer the questions that follows.
1. a.If m∠d = 60°, find the m∠B._______
b.What property did you apply to determine the measurement of ∠B?_______________________________
2.a.If m∠A = 115°, find m∠D.__________
b.What property did you apply to determine the measure of ∠D?_________________________________
3.a.If ĀD = 9 cm,how long is BC?_______
b.What property did you apply to determine the measure of BC?_________________________________
4.If DĒ = 7 cm and ĀĒ = 6 cm, what is the length of DB =______and ĀC=_______?
5.Given: m∠ADC = 54° and m∠DCA =30°
a.What is the m∠DAC?________
b.What is the m∠ACB?________
c.What is the m∠BAC?________
d.What is the m∠ABC?________
e.What property did you apply to determine the measure of the angles?​


At The Right Is A Parallelogram ABCDConsider Each Given Information And Answer The Questions That Follows1 AIf Md 60 Find The MB BWhat Property Did You Apply To class=

Sagot :

Answer:

1. a. m∠D ≅ m∠B; therefore, m∠B = 60°

  b. Opposite angles in a parallelogram are congruent.

2. a. m∠D = 180 - m∠A = 180 - 115 = 65°

   b. Consecutive angles in a parallelogram are supplementary.

3. a. AD ≅ BC; therefore, BC = 9cm

   b. Opposite sides in a parallelogram are congruent.

4. a. [tex]DB=2DE=2(7)=14cm[/tex], [tex]AC=2AE=2(6)=12cm[/tex]

   b. Diagonals of a parallelogram bisect each other.

5. a. m∠DAC = 180 - m∠ADC - m∠DCA = 180 - 54 - 30 = 96°

   The sum of the interior angles of a triangle is 180°.

   b. m∠ACB = m∠DAC = 96°

   Alternate interior angles are congruent.

   c. m∠BAC = m∠DCA = 30°

   Alternate interior angles are congruent.

   d. m∠ABC = m∠ADC = 54°

   Opposite angles in a parallelogram are congruent.

   e. See the italicized statements