You and your sister each want to sit in the front seat of your mom’s car. For each of the following, decide if the
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Answer:
The measure of angles of parallelogram are
∠A = 50° ,
∠B = 130° ,
∠C = 50° ,
∠D = 130°
Step-by-step explanation:
Given as for a parallelogram :
The vertices of parallelogram is A B C D in clockwise
The measure of angle A = ∠A = ( 2 x )°
The measure of angle B = ∠B = ( 5 x + 5 )°
Now, for a parallelogram , the sum of measure of all four angles = 360°
<u>From The property of Parallelogram</u>
A ) The adjacent angles are supplementary
So, ∠A + ∠B = 180°
Or, ( 2 x )° + ( 5 x + 5 )° = 180°
Or, ( 7 x + 5 )° = 180°
Or , ( 7 x )° = 180° - 5°
Or , ( 7 x )° = 175°
∴ x =
I.e x = 25°
So, ∠A = ( 2 x )° = ( 2 ×25° )
I.e , ∠A = 50°
∠B = ( 5 x + 5 )°
Or, ∠B = ( 5 ×25° + 5 )°
I.e , ∠B = 130°
B ) The opposite angles of parallelogram is equal
So, ∠C = ∠A = 50°
I,e ∠C = 50°
And ∠D = ∠B = 130°
I.e ∠D = 130°
Hence The measure of angles of parallelogram are ∠A = 50° , ∠B = 130° , ∠C = 50° , ∠D = 130° Answer
Check the picture below.
so first off, let's convert the mixed fractions to "improper fractions", and then sum them up.
so first off, let's convert the mixed fractions to "improper fractions", and then sum them up.