Answer:
<u>x = 39</u>
Step-by-step explanation:
Let's recall that the interior angles of a triangle always add up to 180 degrees.
Upon saying that, we have:
102 + 39 + x = 180
x = 180 - 102 - 39
x = 39
<u>The value of x is 39 degrees</u>
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.
Answer:
The rate is 2% per year.
Step-by-step explanation:
<em>It is given that sum to be $1200000.</em>
<em>The interest per year to be received is $24000.</em>
<em>Let the rate of interest be "r".</em>
The amount interest is given by the formula,
Thus the rate of interest is given by 2% per year.
