Question

6. Find the measure of angle x in the given figure.
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Answer 1

Step-by-step explanation:

Given

angleSRD=80

angleYAL=50

angleDML=30

angleMDR=angleMLR= X

Find angleMDR=angleMLR= X

Solution

angleDRS+angleDRA=180. (linear pair)

80+angleDRA=180

angleDRA=180-80

angle DRA=100

NOW

angle lay+angleLAR=180

50+angleLAR=180

angleLAR=180-50

angleLAR=120

In Pentagon MDRAL

angleLaR + angle DRA + angle X+ angle X+ angleDML=540

120+100+2angleX+30=540

250+2angleX=540

2angleX=540-250

2angleX=290

angleX=290/2

angleX=145

hence value of angle X is145°