English, asked by ItzTareCutiePie, 1 day ago

In figure,adjoining LA= (2x+ 5°,LB= (x + 2)° and LCD = 109° then the value of x the is​

Answers

Answered by aa7599809
2

ANSWER:−

\begin{gathered} \angle ACD = \angle C = 109° \\ \\ Sum \: of \: all \: angle \: of \: triangle = {180}^{\circ} \\ \\ 2x +5 + x +2 + 109 = 180 \\ \\ 3x + 7 = 71 \\ \\ 3x = 64 \\ \\ x = {21.5}^{\circ} \\ \end{gathered}

∠ACD=∠C=109°

Sumofallangleoftriangle=180

2x+5+x+2+109=180

3x+7=71

3x=64

x=21.5

Answered by tagorbisen
0

Answer:

 </p><p> </p><p>\huge\red{A}\blue{N}\green{S}\orange{W}\pink{E}\purple{R}

As per the diagram, lines CD∣∣EF and CE is transveral.</p><p></p><p></p><p>We know that sum of interior angles is equal to 180o</p><p></p><p></p><p>∠ECD+∠CEF=180o</p><p></p><p></p><p>∠ECD+130o=180o</p><p></p><p></p><p>∠ECD=180−130o</p><p></p><p></p><p>∠ECD=50o</p><p></p><p></p><p>As per the diagram, lines AB∣∣CD and CA is transveral.</p><p></p><p></p><p>We know that alternate angles are equal.</p><p></p><p></p><p>∠BAC=∠ACD </p><p></p><p></p><p>∠BAC=∠ACE+∠ECD</p><p></p><p></p><p>70o=∠ACE+50o</p><p></p><p></p><p>20o=∠ACE</p><p></p><p></p><p>∴∠ACE=20o</p><p></p><p></p><p>

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