a) ∠PQR=65° (alternate interior angles theorem)
∠PRQ = 60° (linear pair)
x = 55° (angles in a triangle add to 180°)
b) ∠APQ and ∠PQR are congruent alternate interior angles.
Answer: step-by-step
Step-by-step explanation:
answer: 10
to solve you have to follow PEMDAS
Right triangles must follow the pythagorean theorem, so a^2+b^2=c^2.
Let's find a^2 and b^2 by squaring the first 2 side lengths.
(x^2-1)^2= x^4-2x^2+1
(2x)^2= 4x^2
Then add the two to find c^2
x^4+ 2x^2 +1= c^2
Root both sides
x^2+1=c
Since the side lengths can be plugged into the pythagorean theorem, the side lengths must represent a right triangle.
Hope this helps!
Answer:
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Step-by-step explanation:
Since DB bisects ∠ABC and ∠ABC= ∠ABD + ∠DBC, then
∠ABD = ∠DBC, that is
4x = x + 36 ( subtract x from both sides )
3x = 36 ( divide both sides by 3 )
x = 12
∠ABD = 4x = 4× 12 = 48°
∠DBC= x + 36 = 12 + 36 = 48°
∠ABC = 48° + 48° = 96°
Thus statement A is FALSE
statement B is TRUE
statement C is TRUE
