Question

From the adjoining figure, find the measure of angle X and angle Y

Answer 1

Answer:

Step 1

Angle y =

y + 80 = 180 (Straight line angle measures 180)

y          = 180 - 100

y           = 80

Step 2

Find third angle of the triangle

let third angle be ' z '

50 + y + z = 180 (All angles of triangle measures 180)

50 + 80 + z = 180

130 + z = 180

z           = 180 - 130

z            = 50

Step 3

x + z = 180 (Straight line angle measures 180)

x + 50 = 180

x          = 180 - 50

x          = 120

Answer : Angle y = 100

               Angle x = 120

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

•From the given fig.

From the given fig.In ΔPLQ

From the given fig.In ΔPLQ∠PLQ=90

From the given fig.In ΔPLQ∠PLQ=90 ∘

From the given fig.In ΔPLQ∠PLQ=90 ∘

From the given fig.In ΔPLQ∠PLQ=90 ∘ ⇒∠PQL+∠PLQ+∠LPQ=180

From the given fig.In ΔPLQ∠PLQ=90 ∘ ⇒∠PQL+∠PLQ+∠LPQ=180 ∘

From the given fig.In ΔPLQ∠PLQ=90 ∘ ⇒∠PQL+∠PLQ+∠LPQ=180 ∘

From the given fig.In ΔPLQ∠PLQ=90 ∘ ⇒∠PQL+∠PLQ+∠LPQ=180 ∘ ⇒x+90+34=180

From the given fig.In ΔPLQ∠PLQ=90 ∘ ⇒∠PQL+∠PLQ+∠LPQ=180 ∘ ⇒x+90+34=180⇒x+124=180

From the given fig.In ΔPLQ∠PLQ=90 ∘ ⇒∠PQL+∠PLQ+∠LPQ=180 ∘ ⇒x+90+34=180⇒x+124=180⇒x=180−124

From the given fig.In ΔPLQ∠PLQ=90 ∘ ⇒∠PQL+∠PLQ+∠LPQ=180 ∘ ⇒x+90+34=180⇒x+124=180⇒x=180−124⇒x=56

From the given fig.In ΔPLQ∠PLQ=90 ∘ ⇒∠PQL+∠PLQ+∠LPQ=180 ∘ ⇒x+90+34=180⇒x+124=180⇒x=180−124⇒x=56 ∘

From the given fig.In ΔPLQ∠PLQ=90 ∘ ⇒∠PQL+∠PLQ+∠LPQ=180 ∘ ⇒x+90+34=180⇒x+124=180⇒x=180−124⇒x=56 ∘

From the given fig.In ΔPLQ∠PLQ=90 ∘ ⇒∠PQL+∠PLQ+∠LPQ=180 ∘ ⇒x+90+34=180⇒x+124=180⇒x=180−124⇒x=56 ∘ From the angle property

From the given fig.In ΔPLQ∠PLQ=90 ∘ ⇒∠PQL+∠PLQ+∠LPQ=180 ∘ ⇒x+90+34=180⇒x+124=180⇒x=180−124⇒x=56 ∘ From the angle property∠x=∠y

From the given fig.In ΔPLQ∠PLQ=90 ∘ ⇒∠PQL+∠PLQ+∠LPQ=180 ∘ ⇒x+90+34=180⇒x+124=180⇒x=180−124⇒x=56 ∘ From the angle property∠x=∠y⇒∠x=∠y=56

From the given fig.In ΔPLQ∠PLQ=90 ∘ ⇒∠PQL+∠PLQ+∠LPQ=180 ∘ ⇒x+90+34=180⇒x+124=180⇒x=180−124⇒x=56 ∘ From the angle property∠x=∠y⇒∠x=∠y=56 ∘