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2 years ago

In the diagram below BD is parallel to XY. What is the value of x

Mathematics

2 answers:

Montano1993 [528]2 years ago

8 0

Answer:

The value of x is 60°

Step-by-step explanation:

In the given figure, BD is parallel to XY and also it is given that the angle made by BD with the transversal line in the interior side is 60°

We have to find the value of x

Given angle and angle x both are alternate interior angles i.e the angles that are formed on the opposite sides of the transversal and inside the two lines and if these two lines are parallel then these angles are equal.

Hence, x=60°

4vir4ik [10]2 years ago

5 0

The value of x is 60 degrees

Alternate interior angles are congruent by definition :)

Brainliest please?

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2 years ago

If mJI = (3x+2)°, mHLK = (15x-36)°, and m∠HML = (8x-1)°, find mHLK

Gala2k [10]

Answer:

The value of mHLK will be "(204)°".

Step-by-step explanation:

The given values are:

mJI = (3x+2)°

mHLK = (15x-36)°

and,

m∠HML = (8x-1)°

then,

mHLK = ?

Now,

By using chord-chord formula of angle, we get

$mHMK=\frac{1}{2}(mJL+mHLK)$

On putting the values in the above formula, we get

⇒ $(8x-1)=\frac{1}{2}(15x-36+3x+2)$

On applying cross-multiplication, we get

⇒ $2(8x-1)=18x-34$

⇒ $16x-2=18x-34$

On subtracting "18x" from both sides, we get

⇒ $16x-2-18x=18x-34-18x$

⇒ $-2x-2=-34$

On adding "2" both sides, we get

⇒ $-2x=-34+2$

⇒ $-2x=-32$

⇒ $x=\frac{32}{2}$

⇒ $x=16$

On putting the value of "x" in mHLK = (15x-36)°, we get

⇒ (15x-36)° = (15×16-36)°

⇒ = (240-36)°

⇒ = (204)°

So that mHLK = (204)°

4 0

2 years ago