Question

find the lettered angle x and y
please say quickly ​

Answer 1

Answer:

x = 30

y = 50°

Step-by-step explanation:

angle ADB = 180 - 90 = 90 [linear pairs ]

in ∆ABD

60 + x + 90 = 180

x = 30

in ∆ ADC

40 + y + 90 = 180 .

y = 50

sum of all angles in a ∆ is 180 °

Answer 2

$\large \underline{ \underline{ \text{Question:}}}$

• In the Attachment Find x and y.

$\large \underline{ \underline{ \text{Solution :}}}$

∆ADB is a right angle at D. So Angle ADB is right angle. According to Universal laws of triangle, The sum of all angles of triangle is 180°. So we can say that, In ∆ADB the sum of all angles is 180°.

Hence,

• ➤ ∠ADB + ∠BDA + ∠DAB = 180°

• ➤ 60° + 90° + x = 180°

• ➤ 150° + x = 180°

• ➤ x = 180° - 150°

• ➤ x = 30°

Therefore,

• The value of x is 30°

∆ADC is a right angle at D. So Angle ADC is right angle. According to Universal laws of triangle, The sum of all angles of triangle is 180°. So we can say that, In ∆ADC the sum of all angles is 180°.

Hence,

• ➤ ∠ADC + ∠ACD + ∠CAD = 180°

• ➤ 90° + y + 40° = 180°

• ➤ 130° + y = 180°

• ➤ y = 180° - 130°

• ➤ y = 50°

Therefore,

• The value of x is 30°

.

$\large \underline{ \underline{ \text{Required Answer:}}}$

.

• The value of x and y are 30° and 50° respectively.