Question

7. One fifth of the sum of two angles is 24° and half
their difference is 14'. Find the two angles.​

Answer 1

Answer:

Step-by-step explanation:

Let the 2 angles be x and y.

1/5 (x + y) = 24

x + y = 120

y = 120 - x  ---------- (1)

1/2 (x-y) = 14

x-y = 28

y = -(28-x)

y = x -28 ----------(2)

Adding 1 and 2,

120 - x = x - 28

120 + 28 = x + x

148 = 2x

x = 74

Since x = 74 , y = 46 using ( 1 ).

THANK YOU.

Answer 2

Hᴇʀᴇ's Yᴏᴜʀ Aɴsᴡᴇʀ:-

Lᴇᴛ, Tʜᴇ Aɴɢʟᴇs = a, b

Iᴛ ɪs Gɪᴠᴇɴ Tʜᴀᴛ, a + b/5 = 24

a + b = 120 ──── Eǫᴜᴀᴛɪᴏɴ ( 1 )

a - b/2 = 14

a - b = 28 ──── Eǫᴜᴀᴛɪᴏɴ ( 2 )

a = 28 + b

Nᴏᴡ, Sᴜʙsᴛɪᴛᴜᴛᴇ Tʜɪs Vᴀʟᴜᴇ ᴏғ b ɪɴ Eǫᴜᴀᴛɪᴏɴ ( 1 )

28 + b + b = 120

2b = 120 - 28

b = 92/2

b = 46

Nᴏᴡ, a = 28 + b

= 28 + 46

= 74

Tʜᴇ Aɴɢʟᴇs Aʀᴇ 74° Aɴᴅ 46°

Hᴏᴘᴇ ɪᴛ Hᴇʟᴘs ᴜʜ......

Hᴀᴠᴇ ᴀ Gʀᴇᴀᴛ Dᴀʏ......