Hello there, today we will solve your problem.
Number 1
Definitions
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Supplementary - either of two angles whose sum is 180°.
Complementary - either of two angles whose sum is 90°.
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Since we know that supplementary angles are angles that add up to 180° we can make an equation
Let's phrase ∠B as x and substitute ∠A as 65°
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[tex]65+x=180\\x=115[/tex]
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Number 2
Since we know that complementary angles are angles that add up to 90° we can make an equation
Let's phrase ∠B as x and substitute ∠A as 65°
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[tex]65+x=90\\x=25[/tex]
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[tex]{\huge{\boxed{\mathfrak{Answer}}[/tex]
Number 1 : ∠B = 115°
Number 2 : ∠B = 25°
