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1. The diagram shown is two intersecting lines. The measure of <5is 47°.

(a) What is the measure of 27 ? How do you know. Explain your answer in complete sentences.
(b) Suppose the measure of 26 can be represented by (2x - 5). What equation can be written to solve
for the value of x?
(c) What is the value of x?

1 The diagram shown is two intersecting lines The measure of lt5is 47 a What is the measure of 27 How do you know Explain your answer in complete sentences b Su class=

Respuesta :

The measure of ∠7 is 47°. Angle 7 is a vertical angle to angle 5

Suppose the measure of ∠6 is represented represented by (2x - 5), the equation that can be use to solve for x is 42 + 2x = 180

The value of x is 69

Vertical opposite angles

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

Vertical opposite angles are congruent. Therefore,

a. ∠5 ≅ ∠7 (vertical angles)

Therefore, angles 5 and 7 are congruent angles.

∠7 = 47°

b. Suppose ∠6 = 2x - 5 . let's find x

Therefore,

∠5 + ∠6 = 180(angle on a straight line)

The equation to solve the above is as follows:

47 + 2x - 5 = 180

42 + 2x = 180

2x = 180 - 42

2x = 138

x = 138 / 2

x = 69

learn more on intersecting lines here: https://brainly.com/question/24715845

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