Find the value of x. A. 70 B. 30 C. 65 D. 40
1 answer:
Answer:
Option (A)
Step-by-step explanation:
From the figure attached,
By applying triangle sum theorem in ΔBCP,
m∠CBP + m∠CPB + m∠BCP = 180°
15° + 20° + m∠BCP = 180°
m∠BCP = 145°
m∠ACB + m∠BCP = 180° [Linear pair of angles are supplementary]
m∠ACB + 145° = 180°
m∠ACB = 35°
Since, ∠ACB is the inscribed angle and AB is the intercepted arc.
Therefore, m(arc AB) = 2m(∠ACB)
m(arc AB) = 2 × 35°
= 70°
Therefore, Option (A) is the correct option.
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Given:
m∠1= x° and m∠2 = (x +50)°.
To find:
The value of x, m∠1 and m∠2.
Solution:
From the figure it is clear that, transversal side intersect the opposite sides which are parallel and form ∠1 and ∠2.
Sum of same sided interior angles is 180 degrees. So,
Divide both sides by 2.
Now,
Therefore, the correct option is C.
Total weight of the steel gate = 150 kg
Solution:
Length = 12 m
Breadth = 5 m
Using Pythagoras theorem,
Diagonal =
Diagonal = 13 m
Total length of the gate = 5 + 5 + 12 + 12 + 13 + 13
Total length of the gate = 60 m
Weight of the steel per meter = 2.5 kg
Weight of the steel for 60 m = 60 × 2.5
= 150 kg
Total weight of the steel gate = 150 kg