Respuesta :

Stephen46

Answer:

m[tex] \angle[/tex]6 = 68°

Step-by-step explanation:

From the question all the angles are on a a straight line which means the sum of their angles is 180 and one of the angles is 90°

So to find m [tex] \angle[/tex] 6 , add

m [tex] \angle[/tex] 5 and 90 and subtract the result from 180°

That's

m[tex] \angle[/tex]5 + m[tex] \angle[/tex]6 + 90 = 180

m[tex] \angle[/tex]6 = 180 - 90 - m[tex] \angle[/tex]5

m[tex] \angle[/tex]6 = 180 - 90 - 22

We have the final answer as

m[tex] \angle[/tex]6 = 68°

Hope this helps you

FadedElla

In the question, a lines & angles diagram is provided, and we can see three angles labelled here. The angles are angle 5, angle 6 and a 90°.

GiveN,

  • Angle 5 = 22°
  • One of them is 90°

We have to find the measure of the missing angle 6...

All the three angles are lying on a staright line, so their collective measure or the sum of these 3 angles is equals to 180°.

➝ Angle 5 + Angle 6 + 90° = 180°

➝ 22° + Angle 6 + 90° = 180°

➝ Angle 6 + 112° = 180°

➝ Angle 6 = 68°

So, the measure of Angle 6:

[tex] \huge{ \boxed{ \bf{68 \degree}}}[/tex]

And we are done !!

#CarryOnLearning

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