From the fact that the shape is a square, we know that one of the angles of the triangle in question must by 90 degrees (the lower left angle in this case).
The triangle formed is also an isosceles triangle and therefore the two smaller angles must be equal to each other. (upper left and lower right)
On top of this, we also know that the total of the angles must be 180 due to the fact that all triangles have interior angles that add to 180.
90 + (lower right) + (upper left) = 180
Since lower right and upper left are equal, we can use a single variable to represent them both.
90 + a + a = 180
90 + 2a = 180
2a = 90
a = 45
So, the degree of the lower right angle is 45. We can take this value and set 4x + 17 equal to it.
4x + 17 = 45
4x = 28
x = 7
Therefore, x is equal to 7.
Answer:
The measure of angle ABT is 28°
Step-by-step explanation:
* Lets revise the bisector of a angle
- If a ray bisects and angle that mean the ray divide the angle into
two equal parts in measure
- Ex: if the ray BD bisects angle ABC, then the measure of angle ABD is
equal to the measure of angle CBD
* Lets solve the problem
∵ BT bisects ∠ABC
∴ m∠ABT = m∠CBT
∵ m∠ABT = 4x - 16
∵ m∠CBT = 2x + 6
- Equate the two values
∴ 4x - 16 = 2x + 6
- Lets solve the equation by subtracting 2x from both sides and
adding 16 to both sides
∴ 4x - 2x = 6 + 16
∴ 2x = 22 ⇒ divide both sides by 2
∴ x = 11
- Lets find the measure of angle ABT
∵ m∠ABT = 4x - 16
- Substitute x by 11
∴ m∠ABT = 4(11) - 16 = 44 - 16 = 28°
* The measure of angle ABT is 28°
Answer:
72.5
Step-by-step explanation:
5, 12, 15, 23, 42, 51, 55, 66, 68
42 = median
Q1 median = 21
Q2 median = 93.5
93.5 - 21 = 72.5
Hope this helped!!!
I would solve it for B, but that's just what I think. So you would do -12 time -2 which is 24, then subtract 24 from both sides so that you would get B=-31
