Question

Parallels and angles
In the figure below, the top and bottom lines are parallel:
50°
How much is the angle marked on the top?​

Answer 1

Answer:

Given :-

A gas cylinder containing cooking gas can withstand a pressure of 14.9 atm. The pressure gauge of the cylinder indicates 12atm at 27°C.

To Find :-

The temperature at which the cylinder will explode is

Solution :-

T₁ = 273 + T₁(C)

T₁ = 273 + 27

T₁ = 300 K

Now

P₁/P₂ = T₁/T₂

T₂ = P₁ × T₁/P₂

T = 14.9 × 300/12

T = 149 × 300/120

T = 149 × 30/12

T = 372.5 K

Now

C = K - 273

C = 372.5 - 273

C = 99.5° C

Hence

Option C is correct

Answer 2

Answer:

In the given figure, ∠e+∠g does not add up to

180

˚

, as they are alternate angles and are equal, ∠e=∠g

where as:

A. ∠a will be equal to sum of ∠e and ∠f as a is exterior angle and angle e and angle f are opposite interior angles.

So, ∠a+∠b+∠f=

180

˚

B. ∠a+∠d=

180

˚

= interior angles on the same side of transversal is always supplementary

C. ∠a+∠e+∠f=

180

˚

=3 angles of a triangle always measure 180 degree.

D. ∠d+∠e=

180

˚

= adjacent angles creating a straight line are supplementary.