Final Answer: 
Steps/Reasons/Explanation:
Question: Solve
.
<u>Step 1</u>: Simplify
to
.

<u>Step 2</u>: Regroup terms.

<u>Step 3</u>: Add
to both sides.

<u>Step 4</u>: Simplify
to
.

<u>Step 5</u>: Multiply both sides by
.
× 
<u>Step 6</u>: Simplify
×
to
.

<u>Step 7</u>: Divide both sides by
.

<u>Step 8</u>: Simplify
to
.

<u>Step 9</u>: Switch sides.

~I hope I helped you :)~
Let
x = measure of angle TAP
y = measure of angle BRE
We're told that "angle BRE is its own complement" meaning that angle BRE added to itself is 90 degrees. In algebraic terms, we can say
y+y = 90
2y = 90
2y/2 = 90/2
y = 45
So angle BRE is 45 degrees. Note how 45+45 = 90.
We also know that angle TAP and angle BRE are supplementary. They add up to 180 degrees
x+y = 180
x+45 = 180 ... replace y with 45
x+45-45 = 180-45 ... subtract 45 from both sides
x = 135
Since we defined x to be the measure of angle TAP, this means that angle TAP is 135 degrees
D is the correct answer
hope it helps
All angles of a triangle added together equal 180 degrees
180=(6x-1)+(x+14)+(20) which simplifies to 180=7x+33
next, solve for x by subtracting 33
147=7x
then solve by dividing by 7
21=x
plug x back into your original equations to find the angle measures
A=6(21)-1 A=125 degrees
B=(21)+14 B=35 degrees
Answer:
Its 67.9 but technically its 67.912 *hope this helps
Step-by-step explanation:
Right scalene triangle.
Sides: a = 66 b = 16 c = 67.912
Area: T = 528
Perimeter: p = 149.912
Semiperimeter: s = 74.956
Angle ∠ A = α = 76.373° = 76°22'23″ = 1.333 rad
Angle ∠ B = β = 13.627° = 13°37'37″ = 0.238 rad
Angle ∠ C = γ = 90° = 1.571 rad
Height: ha = 16
Height: hb = 66
Height: hc = 15.55
Median: ma = 36.674
Median: mb = 66.483
Median: mc = 33.956
Inradius: r = 7.044
Circumradius: R = 33.956
Vertex coordinates: A[67.912; 0] B[0; 0] C[64.142; 15.55]
Centroid: CG[44.018; 5.183]
Coordinates of the circumscribed circle: U[33.956; 0]
Coordinates of the inscribed circle: I[58.956; 7.044]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 103.627° = 103°37'37″ = 1.333 rad
∠ B' = β' = 166.373° = 166°22'23″ = 0.238 rad
∠ C' = γ' = 90° = 1.571 rad