Answer:
90, 90, 90, 135, 135
Step-by-step explanation:
The sum of the measures of all angles is 540 deg.
The measures of the angles are: x - 45, x - 45, x, x, x - 45.
Add the expressions of the measures of the angles and set equal to the sum of the measures, 540 deg. Then solve for x. Then use the value of x to find each angle measure.
x + x + x - 45 + x - 45 + x - 45 = 540
5x - 135 = 540
5x = 675
x = 135
x - 45 = 135 - 45 = 90
Answer: 90, 90, 90, 135, 135
Answer:
∠BKM= ∠ABK
Therefore AB ║KM (∵ ∠BKM= ∠ABK and lies between AB and KM and BK is the transversal line)
m∠MBK ≅ m∠BKM (Angles opposite to equal side of ΔBMK are equal)
Step-by-step explanation:
Given: BK is an angle bisector of Δ ABC. and line KM intersect BC such that, BM = MK
TO prove: KM ║AB
Now, As given in figure 1,
In Δ ABC, ∠ABK = ∠KBC (∵ BK is angle bisector)
Now in Δ BMK, ∠MBK = ∠BKM (∵ BM = MK and angles opposite to equal sides of a triangle are equal.)
Now ∵ ∠MBK = ∠BKM
and ∠ABK = ∠KBM
∴ ∠BKM= ∠ABK
Therefore AB ║KM (∵ ∠BKM= ∠ABK and BK is the transversal line)
Hence proved.
Answer:
x=1
You solve for x by cross multyplying
Answer:
csc
Step-by-step explanation:
Answer:
3x + 30
Step-by-step explanation:

3x + 30 would be an equivalent expression.
Hope this helps.