Answer:
The answer should be 69°
Step-by-step explanation:
Each line is being cut by a transversal, that means that the degree on the other side of it, added with the given degree will add up to 180°
1. On the right, you need to find the interior angle where 160° is outside so you subtract 180° from 160° to find the angle inside. That gives you 20°
2. On the top left you have 131° so 180°-131°=49°
Next you add the angles you have and then subtract it from 180 to get the interior angle with n° outside.
3. 20°+49°=69°
4. 180°-69°=111°
Then you do the same thing as the beginning which would be n°+111°=180°
5. n°+111°=180°, that means n=69°
Hopefully that clears it up for you :)
You were right, its the second choice CA=CB+BA
Answer:
1. 60 F 2. -6 F
Step-by-step explanation:
simple math
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.
