40 sets of tires. I learned this by looking up your question because it is incomplete.
In a parallelogram, opposite angles are congruent. However, the same thing cannot be said for the other.
You can label one pair of opposite angles with x and the other 9x.
You also know that each quadrilateral has interior angles that add up to 360 so you can create the equation of
9x+9x+x+x=360
which can be simplified into
20x=360
x=18
Now, you know the angle measures of one pair of opposite angles. to find the other you plug in 18 to our other equation and multiply 9 to get 162.
The angles of the parallelogram is 18,18, 162 and 162.
Note: you can check if this is right if all the angles add up to 360.
Answer:
∠b=133°
∠c=47°
∠d=133°
Step-by-step explanation:
We are given with two lines intersecting at a point and thus forming 4 angles
∠a , ∠b ,∠c and ∠d
Here we must understand the properties of angles formed by two intersecting lines.
Supplementary Angles :
In our image following pairs are supplementary angles
∠a and ∠b
∠b and ∠c
∠c and ∠d
∠d and ∠a
the properties of supplementary angles say that their sum is 180°
Hence if ∠a=47°
∠a+∠b=180°
47°+∠b=180°
∠b=180°-47°
∠b=133°
Vertically opposite angles. When two lines intersects , they form two pairs of vertically opposite angles
here
∠a and ∠c
∠b and ∠d
are vertically opposite angles
The property says that they are equal.
Hence
if ∠a=47° , ∠c=47°
if ∠b=133° , ∠d=133°
