Answer:
B) 81°
Step-by-step explanation:
Given:
From the figure given below,
∠1 = 3x + 18
∠7 = 2x + 39
∠1 and ∠7 are a pair of exterior alternate angles. For two parallel lines l and m, cut by a transversal n, the pair of exterior alternate angles are congruent to each other.
Therefore, the angles 1 and 7 are congruent to each other. This gives,
∠1 ≅ ∠7
Therefore, the value of 'x' is 21.
Now, the measure of angle 7 can be calculated by plugging in the value of 'x' in the expression for angle 7. This gives,
Therefore, the correct option is option (B).
Answer:
It's pretty simple when you know math the correct way. Here.
Step-by-step explanation:
$1,685 - $792 = $893
Not sure about this? Do it a different way! Use the answer in a equation!
$893 + $792 = $1,685
Your Welcome Friend!
Answer:
m∠1=118°
m∠2=62°
Step-by-step explanation:
Part A: They are supplementary angles, so
Simplify like terms,
We subtract 92,
Divide by 2,
Part B:
∠
because ∠2 is vertical to 2x+30.
Plug in 44 for x,
∠
Simplify,
∠
∠
° because it is a vertical angle to the 62° angle.
Answer:
a = 133 degrees
b = 78 degrees
Step-by-step explanation:
the top and bottom lines are parallel.
the two sidelines are lines that intercept the top and bottom lines.
as they intercept parallel lines, they actually must have the same angles with them.
so, the 47 degrees inner angle at the bottom line, must be also somewhere at the interception point with the top line. and right, it must be now mirrored the outward angle at the top line. and that means a (the inward angle at the top line) is also the outward angle at the bottom line.
the sum of inward and outward angles at a point must always be 180 degrees.
so, the outward angle of 47 = the inward angle a =
= 180 - 47 = 133 degrees.
similar in the other side.
102 is the inward angle.
the outward angle of that is 180 - 102 = 78 degrees.
and that is also the inward angle b.
b = 78 degrees
The triangle QPR having inscribed triangle STU will allow the artisan to divided his glass piece into four equal triangular pieces.
In order to divide an equilateral triangle into four equal triangular glass pieces, the artisan must;
- Take S as the mid-point on PA, T as the mid-point on PR, and U as the mid-point on QR. Thus, S, T, and U are the three mid-points on each side of the equilateral triangle QPR.
- Now, by joining these mid-points S, T, and U, four equal triangles are made(as shown in the figure).
Since the triangle is equilateral,
PQ = QR = RP
Mid-point divides the lines into equal parts. So,
PS = SQ = QU = UR = RT = TP
Thus, it is proved that
ΔPST = ΔSTU = ΔTUR = ΔQSU
Learn more about 'Equilateral Triangle' here:
brainly.com/question/2855144
