Question

in fig 4.154,find the value of x ​

Answer 1

Answer:

160°

Step-by-step explanation:

Mark the point on the line PQ as T

In triangle RTQ ∠ RTQ = 180 - (30 + 40) = 110°

Hence, angle ∠PTS = 180 - 110 = 70°

In triangle PTS ∠PST = 20° ⇒ x = 180 - 20 = 160°

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Answer 2

Answer:

TRIANGLE ∠RAB

=sum of ∠RAB

=>Sum of three angles in a triangle is 180

Í) Now we find ∠RAB

=>30°+40°+A=180°

=>70°+A=180°

=>A=180°-70°

=>A=110°

_________(1)

ÍÍ)

∠APS=110°+50°+S=180°

=>160°+S=180°

=>S=180°-160

=>S=20°

__________(2)

By data

From (1) and( 2) equation

∴RA is straight angle

an angle of 180°.

20°+x=180

X=180°-20°

X=160°