Answer:
∠ACD = 115°
Step-by-step explanation:
since it is an isosceles triangle, the base angles are same
let them be x each
[tex]50 + x + x = 180[/tex]
because sum of angles of triangle is 180
[tex]50 + 2x = 180[/tex]
[tex]2x = 130[/tex]
[tex]x = 130 \div 2[/tex]
[tex]x = 65[/tex]
now,
∠ACB = 65
[tex]∠acb \: + ∠acd = 180[/tex]
since it is a linear pair
[tex]65 + ∠acd = 180[/tex]
[tex]∠acd = 180 - 65[/tex]
[tex]∠acd = 115[/tex]
so the measure of ∠ACD = 115°
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Verified answer
Answer:
∠ACD = 115°
Step-by-step explanation:
since it is an isosceles triangle, the base angles are same
let them be x each
[tex]50 + x + x = 180[/tex]
because sum of angles of triangle is 180
[tex]50 + 2x = 180[/tex]
[tex]2x = 130[/tex]
[tex]x = 130 \div 2[/tex]
[tex]x = 65[/tex]
now,
∠ACB = 65
[tex]∠acb \: + ∠acd = 180[/tex]
since it is a linear pair
[tex]65 + ∠acd = 180[/tex]
[tex]∠acd = 180 - 65[/tex]
[tex]∠acd = 115[/tex]
so the measure of ∠ACD = 115°
IF IT HELPS YOU PLEASE MARK IT AS THE BRAINLIEST