Question

The sum of two angles of a triangle is equal to its third angle . determine the measure of the third angle.

Answer 1

Hey Friend ☺

Let the two equal angles be x .

Their sum is equal to third angle

x + x = y

》y = 2x. ... ( 1 )

We know that ,
the sum of measures of all three angles of triangle is 180

So

x + x + y = 180

》2x + 2x = 180

》4x = 180

》x = 45

So the third angle measure is 45 × 2 = 90 .

Hope it helps you ..!!

✌

Answer 2

Answer:

ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ Qᴜᴇꜱᴛɪᴏɴ , ɪɴ ∆ᴀʙᴄ ɪꜰ ∠ᴀ ᴀɴᴅ ∠ʙ ᴛᴡᴏ ᴀɴɢʟᴇꜱ ᴏꜰ ᴀ ᴛʀɪɴᴀɢʟᴇꜱ ᴀɴᴅ ∠ᴄ ʙᴇ ᴛʜɪʀᴅ ᴀɴɢʟᴇ ᴛʜᴇɴ :

ʙᴜᴛ , ꜰʀᴏᴍ ᴀɴɢʟᴇ ꜱᴜᴍ ᴘʀᴏᴘᴇʀᴛʏ ᴏꜰ ᴛʀɪɴɢʟᴇ

∠ᴀ + ∠ʙ + ∠ᴄ = 180ᵒ

⇛ ∠ᴄ + ∠ᴄ = 180ᵒ

⇛ 2∠ᴄ = 180ᵒ

⇛ ∠ᴄ = [180/2]ᵒ

⇛ ∠ᴄ = 90ᵒ ( ᴀɴꜱ )