Question

Sorry to ask but, may I please have help on this question? please and thank you so much!

Answer 1

Angle B is 70 degrees.

Explanation:

All 3 angles in a triangle add up to 180.

We know that angle A = 40.

So the other two angles combined = 180-40 = 140.

So add up those other 2 angles, set it equal to 140 and solve for x. Then substitute your X back into the provided equation for B. Let's go!

(2x-30) + (x+20) = 140

Combine like terms:

3x -10 = 140

3x = 150

x = 50

Angle B is 2x-30. Substitute x=50 and solve for angle B:

2(50) - 30 = 100-30 = 70

Angle B is 70 degrees.

Answer 2

SolutioN:-

we know that,

★ Sum of angles of a triangles is 180°

# According To The Question:-

`\sf \: \longrightarrow \: 40 + (2x-30) + (x+20) = 180`

`\sf \: \longrightarrow \: 40 + 2x-30+ x+20= 180`

`\sf \: \longrightarrow \: 40 -30+20+ 2x+ x= 180`

`\sf \: \longrightarrow \: 10+20+ 2x+ x= 180`

`\sf \: \longrightarrow \: 30+ 2x+ x= 180`

`\sf \: \longrightarrow \: 30+ 3x= 180`

`\sf \: \longrightarrow \: 3x= 180-30`

`\sf \: \longrightarrow \: 3x= 150`

`\sf \: \longrightarrow \: x=( 150)/(3)`

`\sf \: \longrightarrow \: x=50\degree`

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★ Measure of Angle B :-

`\sf \: \longrightarrow \: \angle B = (2x-30)\degree`

`\sf \: \longrightarrow \: \angle B = 2x-30\degree`

`\sf \: \longrightarrow \: \angle B = 2(50)-30\degree`

`\sf \: \longrightarrow \: \angle B = 2* 50-30\degree`

`\sf \: \longrightarrow \: \angle B = 100-30\degree`

`\sf \: \longrightarrow \: \angle B = 70\degree`

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