Answer:
x = 12.25
Step-by-step explanation:
x : 14 = 7 : 8
x/14 = 7 /8
x = (7 * 14 ) / 8
= (7 * 7) / 4
=49 /4
= 12.25
x = 12.25
Answer:
73°
Step-by-step explanation:
Given: BD=BE
∠DBE= 50°
∠EAC= 42°
DE//AC and AE=CD
Attach is the new drawn diagram with M point.
∵ we know BD=BE, ∴ ∠BDE=∠BED= x ( taking x as unknown angle)
Remember, sum of triangle= 180°
Now, ∠BDE+∠BDE+∠DBE= 180°
⇒ 
⇒ 
Subtracting both side by 50, then dividing both side by 2
∴
°
We know, ∠MAC= ∠MCA= 42° (∵AM=MC)
Next, ∠EDC=DCA= 42° ( ∵ Alternate interior angle as we know DE//AC )
Now, we have ∠EDC= 42°, ∠BDE= 65°
∴
° (∵sum of straight line= 180°)
⇒
°
⇒
°
Subtracting both side by 107
∴∠ADC=
°
∴∠ADC= 73°
Answer:b
Step-by-step explanation: