Question

angle A and Angle B are complementary angles if angle A is equal to Angle B minus 20 degree then find angle A and Angle B​

Answer 1

Answer:

A=35°

B=55°

Step-by-step explanation:

When two angles are complementary their sum is 90°

A = B-20

Now,

A+B=90°

B-20+B=90°

2B=90°+20°

2B=110°

B=55°

A=55°-20°=35°

Answer 2

Answer:

The angles are $A=35^{0}\:and\:B=55^{0}$

Step-by-step explanation:

Given that,

angle A and angle B are complementary angles.We know that sum of two complimentary angles is a right angle.

Therefore,we write

$A+B=90^{0}--- > (1)$

Also given that,

angle A is equal to angle B minus 20 degree.Hence,

$A=B-20\\= > A-B=-20^{0}--- > (2)$

Adding equations 1 and 2,we get

$(1)+(2)= > 2A=70= > A=35^{0}$

Substituting value of A in equation 1,we get

$35+B=90= > B=90-35=55^{0}$

Therefore,

The angles are $A=35^{0}\:and\:B=55^{0}$

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