Answer:
90
Step-by-step explanation:
Basically 90 precent of 100 is 90
See those lines that are pependicular
meanins that those lines are same legnth
in triangle, if 2 sides are same measure legnth then the angles oposite those sides are same measure
therefor top right and top left angle is 42
remember that vertical angles are congruent
remmeber all angles ad to 180 in a triangle
so therefor look at top triangle
top right angle is 42
top left is 42
bottom must be x
total is 180 so
42+42+x=180
84+x=180
minus 84 fromboth sides
x=96
answer is 96 degrees
Answer:
-6
Step-by-step explanation:
3n = n² - 54
n² - 3n - 54 = 0
n² - 9n + 6n - 54 = 0
n(n - 9) + 6(n - 9) = 0
(n - 9)(n + 6) = 0
n = 9 , -6
Answer:
Given: In parallelogram ABCD, AC=BD
To prove : Parallelogram ABCD is rectangle.
Proof : in △ACB and △BDA
AC=BD ∣ Given
AB=BA ∣ Common
BC=AD ∣ Opposite sides of the parallelogram ABCD
△ACB ≅△BDA∣SSS Rule
∴∠ABC=∠BAD...(1) CPCT
Again AD ∥ ∣ Opposite sides of parallelogram ABCD
AD ∥BC and the traversal AB intersects them.
∴∠BAD+∠ABC=180∘ ...(2) _ Sum of consecutive interior angles on the same side of the transversal is
180∘
From (1) and (2) ,
∠BAD=∠ABC=90∘
∴∠A=90∘ and ∠C=90∘
Parallelogram ABCD is a rectangle.
