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Challenge -- Find all of the missing angles - a, b, c, and d. L- ✓ b d 15 a а 60 55

Challenge Find All Of The Missing Angles A B C And D L B D 15 A А 60 55 class=

Sagot :

The angels 60, a, and 55 are supplementary, meaning they add up to 180 degrees.

Therefore we have

[tex]60+a+55=180[/tex]

Solving for a gives us

[tex]\textcolor{#FF7968}{a=65.}[/tex]

Now, we know that the sum of angles in a triangle is 180 degrees; therefore,

[tex]a+b+90=180[/tex]

since a = 65, we have

[tex]65+b+90=180[/tex]

solving for b gives us

[tex]\textcolor{#FF7968}{b=25.}[/tex]

The angle c is opposite the angle b; therefore, it is

[tex]\textcolor{#FF7968}{c=25.}[/tex]

Angles d and 15 are complementary meaning they add up to 90; therefore, we have

[tex]15+d=90[/tex][tex]\textcolor{#FF7968}{\therefore d=75}[/tex]

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