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3 years ago

Lines AB and CD are perpendicular to each other. If 3 measures (4x + 4)°, and 4 measures 26°, what is the value of x?

Mathematics

1 answer:

Misha Larkins [42]3 years ago

6 0

9514 1404 393

Answer:

A x = 15

Step-by-step explanation:

Lines AB and CD being perpendicular means the angles where they meet are all 90°. The diagonal line divides two of those 90° angles into two parts (each). The whole (90°) is the sum of the parts into which the angle has been divided.

The sum of angles 3 and 4 is 90°. Once you understand this relationship, you can write an equation based on the relationship. The equation can be solved in the usual way.

(4x +4)° +26° = 90°

4x = 60 . . . . . . . . . . . . divide by °, subtract 30

x = 15 . . . . . . . . . . divide by 4

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Answer:

Option (D) is correct.

Step-by-step explanation:

In a triangle BCD , with b, c, d as the sides of triangle.

Sine rule states when we we divide side b by the sine of angle B then it is equal to side c divided by the sine of angle C and also equal to side d divided by the sine of angle D.

Using Sine rule,

$\frac{b}{\sin B}=\frac{c}{\sin C}=\frac{d}{\sin D}$

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