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Salsk061 [2.6K]
3 years ago
5

given the parallelogram ABCD, solve for X when angle A equals (30+ 5x)° and angle D equals (15+10x)° degrees. Also, sides AB and

CD opposite each other.

Mathematics
2 answers:
MrRa [10]3 years ago
8 0

Answer: The value of x = 9.

Step-by-step explanation:

Since we have given that

∠A =  (30+5x)°

∠ D = (15+10x)°

Since ABCD is a parallelogram.

In parallelogram, opposite angles are equal and sum of adjacent angle is supplementary angles.

So, ∠A + ∠D = 180° (∵ A and D are adjacent angles)

30+5x+15+10x=180^\circ\\\\45+15x=180^\circ\\\\15x=180^\circ-45^\circ\\\\x=\dfrac{135}{15}\\\\x=9

Hence, the value of x = 9.

cupoosta [38]3 years ago
5 0

Answer:

X = 9°

Step-by-step explanation:

In parallelogram, the sum of the adjacent angles is equal to 180°

Given two adjacent angles of a parallelogram

<A = (30+ 5x)° and <D = (15+10x)°

To get X, we will take the sum of this two angles and equate it to 180°

<A + <D = 180°

(30+5x)° + (15+10x)° = 180°

Expanding the bracket

30+5x+15+10x = 180°

45+15x = 180°

15x = 180-45

15x = 135°

x = 135/15

x = 9°

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  about 2949 feet

Step-by-step explanation:

The geometry of the situation can be modeled by a right triangle. The height of the cliff can be taken to be the side opposite the given angle, and the distance to the coyote will be the side adjacent to the given angle. The relation between these values is the trig function ...

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<h3>setup</h3>

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