Okay so the answer would be
Answer:
So the answer is both
180 and 328 (but it may or may not show you "not possible, if so, then you got it right)
Step-by-step explanation:
SinA/a= SinB/b
1. SinM/780 = Sin164/760
2. 780sin164/760 = 0.2828909704
3. M = sin^-1 (0.2828909704)= 16.4328229 or 16
Check for possibility
180-16= 164
164 + 16= 180 (not possible)
164 + 164= 328 (not possible)
Answer:
Option (1)
Step-by-step explanation:
From the picture attached,
Triangle CAB is a right triangle.
Therefore, m∠1 = 90°
Similarly, m∠ACD = 90°
m∠ACD = m∠ACB + m∠BCD = 90°
= m∠3 + m∠4 = 90°
Since m∠4 = 35°,
m∠3 + 35° = 90°
m∠3 = 90° - 35°
= 55°
In the triangle ABC,
m∠ACB + m∠CBA + m∠BAC = 180° [Property of a triangle]
m∠3 + m∠2 + m∠1 = 180°
55° + m∠2 + 90° = 180°
m∠2 + 145° = 180°
m∠2 = 180° - 145°
= 35°
Since, AB║CD and BC is a transverse,
Therefore, m∠2 = m∠4 = 35° [Alternate interior angles]
Option (1) is the correct option.
2 because if you divide 14 by 7 to isolate the variable you get 2
