Question

guys please answer with explantion I mark brainlist and I will follow you I give 30 thanks

answer correct only I give these all​

Answer 1

SOLUTION :-

$\green{1) \: solution}$

$\sf \: Use \: \: exterior \: \: angle \: \: property -$

$</p><p> \sf \: It \: states \: that \: the \: measure \: of \: each \: exterior \: \: \: \\ \sf \: \: angle \: of \: a \: triangle \: is \: equal \: to \: the \: sum \: of \: the \\ \sf \: opposite \: and \: non-adjacent interior angles.$

$\sf \: Here$

• Exterior angle is ∠ACD
• Non adjacent angles are ∠A and ∠B

$\sf \: By \: exterior \: angle \: property$

$\sf \: ∠ACD \: = ∠B + ∠C$

$\sf \implies \: 123 = 56 + x$

$\sf \implies \: x = 123 - 56$

$\sf \implies \: x =67 \degree$

$\green{2) \: solution}$

$\sf \: Sum \: of \: the \: angles \: of \: triangle = 180 \degree$

$\sf \: Here \: \: angle s \: \: are$

• ∠P =45°
• ∠Q=(3x+16)°
• ∠R=68°

$\sf \: ∠P + ∠Q + ∠R = 180 \degree$

$\sf \implies45 + (3x + 16) + 68 = 180$

$\sf \implies 3x +45 + 16 + 68 = 180$

$\sf \implies 3x +129 = 180$

$\sf \implies x = 17 \degree$

$\green{3) \: solution}$

$\sf \: Here \: \: angle s \: \: are$

• ∠A=25°
• ∠B = x
• ∠C = 30°

$\sf \: ∠A + ∠B + ∠C = 180$

$\sf \implies25 + x + 30 = 180$

$\sf \implies x + 55 = 180$

$\sf \implies x = 125 \degree$

$\green{4) \: solution}$

$\sf \: Here \: given \: that -$

• Sides XY and XZ are equal, hence corresponding angles will also equal.

• Then ∠Y = ∠Z

$\sf \: ∠Y = ∠Z$

$\sf \implies \: 2x = 45 - 7$

$\sf \implies \: 2x = 38$

$\sf \implies \: x = 19 \degree$

$\green{5) \: solution}$

GIVEN :-

• AB =AO (Since 2 sides of a triangle are equal then corresponding angles are also equal ∠B=∠AOB
• Similarly CO = CD , then ∠COD=∠D

Hence,

• ∠B=∠AOB = (3x+10)

Also

• ∠COD=∠AOB (Vertically opposite angles)
• ∠COD=∠AOB= (3x +10)

$\sf \: Now \: \: in \: \triangle \: COD$

• ∠C=2x
• ∠COD = ∠D= (3x+10)

$\sf \: ∠C + ∠COD + ∠D = 180 \degree$

$\sf \implies \: 2x + (3x + 10) + (3x + 10) = 180 \degree$

$\sf \implies \: 2x + 3x +3x + 10 + 10 = 180$

$\sf \implies \: 8x + 20= 180$

$\sf \implies \: 8x = 180 - 20$

$\sf \implies \: 8x = 160$

$\sf \implies \: x = 20 \degree$

Thank you

Answer 2

Answer:

mark above as Brainliest ✌✌❤❤

Step-by-step explanation:

x=larger number; y=smaller number

.

x-y=8

x=y+8 Use this to substitute for x.

.

x+2=3y Substitute for x from above.

(y+8)+2=3y

y+10=3y Subtract y from each side.

10=2y Divide each side by 2.

5=y ANSWER 1: the smaller number is 5.

.

x=y+8=5+8=13 ANSWER 2: The larger number is 13.ig

ignore it