Here it is given that AB || CD
< EIA = <GJB
Now
∠EIA ≅ ∠IKC and ∠GJB is ≅ ∠ JLD (Corresponding angles)
∠EIA ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)
∠IKL + ∠IKC 180° and ∠DLH + ∠JLD =180° (Linear Pair Theorem)
So
m∠IKL + m∠IKC = 180° ....(1)
But ∠IKC ≅ ∠JLD
m∠IKC = m∠JLD (SUBTRACTION PROPERTY OF CONGRUENCY)
So we have
m∠IKL + m∠JLD = 180°
∠IKL and ∠JLD are supplementary angles.
But ∠DLH and ∠JLD are supplementary angles.
∠IKL ≅ ∠DLH (CONGRUENT SUPPLEMENTS THEOREM)
Answer:
D.
Step-by-step explanation:
We can see from our graph that triangle CED is similar to triangle CBA. Side length BA corresponds to ED and Side length AC corresponds to DC.
Since we know that corresponding sides of two similar triangle are in the same proportion. To find value of x we will set proportion of the corresponding sides of our given triangles equal.
Upon cross multiplying our given equation we will get,
Upon distributing 7 we will get,
Therefore, x equals 8.57 and option D is the correct choice.
Let 'x' and 'y' be two complementary angles.
The sum of two complementary angles is always 90 degrees.
So,
(equation 1)
It is given that, one angle measures 39 degrees more than 2 times the measure of its complement.
So,
Substituting the value of 'y' from equation 1 in the above equation, we get
So,
Since,
Therefore, the measure of two angles are and .
Answer:
CA = 32
Step-by-step explanation:
By intersecting chords theorem:
CA = 14 + ( 3 + 3x)
CA = 14 + ( 3 + 3*5)
CA = 14 + ( 3 + 15)
CA = 14 + 18
CA = 32
divide
Step-by-step explanation:
But i think I know what you need to do so first count the graph like see where it is pointed at then divide and u get ur answer Again im not sure but maybe