Find the value of a and b.

A=

B=

a = 60

b = 60

Step-by-step explanation:

Vertical angles are congruent to each other

Vertical angle pairs:

AXE = YXC = 30

a = b

BXA = DXC + 90

Line AC is 180 degrees because of definition of a straight line.

This means AXE + b + DXC = 180 (Parts Whole Postulate)

Substitute given angle measurements

30 + b + 90 = 180

b = 180 - 12

b= 60

Since b=a, that means a = 60

Hope this helps :)

Have an awesome day!

a = 60 degrees, b = 60 degrees

Step-by-step explanation:

30 + b would be a complementary angle which is 90 degrees.

30 + b = 90

b = 60

a would also be 60 degrees because they are vertical angles.

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

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step-by-step explanation: