find 'x' value in the figure
step by step plz
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Answer:
In triangle ABE,
Using angle sum property,
100+30+A=180°
130°+A=180°
A=180°-130°=50°
So, angle A=50°
Now, In triangle ABC,
Using angle sum property,
A + B+C=180°
50°+30°+x+20°+65°=180°
165°+x=180°
x= 180°-165°
x= 15°
Step by step explanation given.
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Answer:
Given,
ABC is a triangle
angle ABE = 30⁰
angle AEB = 100⁰
Angle DBC = 20⁰
angle DCB = 65⁰
Angle BDC = 180 - angle DBC + angle DCB (sum of angles of a triangle = 180⁰ , DBC is a triangle)
= 180 - 20 + 65
= 180 - 85
= 95⁰ = angle BDC
angle BDE = 180 - 95 (AC is a straight line)
angle BDE = 85⁰
angle BED = 180 - 100 (AC is a straight line)
angle BED = 80⁰
x = 180 - 80 + 85 (sum of angles of a triangle is 180⁰)
= 180 - 165
x = 15⁰ is the answer
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