Mathematics: Two lines and a ray intersect to form five angles. The angles are numbered in the diagram 1 through 5. If the measure of ∠4 is 55°, what is the measure of ∠2?

2.4 * 1.7for estimation, round ur numbers to the nearest whole numberestimation : 2 * 2 = 4actual : 2.4 * 1.7 = 4.08...

Two lines and a ray intersect to form five angles.

tyrique86

21.06.2021

$\angle 2 =145^\circ$

Step-by-step explanation:

Given

$\angle 4 = 55^\circ$

Required

Find $\angle 2$

From the attached image, we have:

$\angle 5 = 90$ --- right angle

So, we have:

$\angle 5 +\angle 4 = 90 + \angle 4$

Substitute: $\angle 4 = 55^\circ$

$\angle 5 +\angle 4 = 90 + 55$

$\angle 5 +\angle 4 = 145$

To solve for $\angle 2$ , we have:

$\angle 2 =\angle 5 +\angle 4$ --- Vertically opposite angles

So:

$\angle 2 =145^\circ$

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