Answer:
Measure of angle 2 and angle 4 is 42°.
Step-by-step explanation:
From the figure attached,
m∠ABC = 42°
m(∠ABD) = 90°
m(∠ABD) = m(∠ABC) + m(∠DBC)
90° = 43° + m(∠DBC)
m(∠DBC) = 90 - 43 = 47°
Since ∠ABC ≅ ∠4 [Vertical angles]
m∠ABC = m∠4 = 42°
Since, m∠3 + m∠4 = 90° [Complimentary angles]
m∠3 + 42° = 90°
m∠3 = 90° - 42°
= 48°
Since, ∠5 ≅ ∠3 [Vertical angles]
m∠5 = m∠3 = 48°
m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]
m∠2 + 48° = 90°
m∠2 = 90 - 48 = 42°
m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]
48° + m∠4 = 90°
m∠4 = 90 - 48 = 42°
Therefore, ∠2 and ∠4 measure 42°.
Answer:
x = 9
Step-by-step explanation:
Since we know that the triangle is a right triangle we also know that the angle would be 90 degrees
However we are only given 56 and 3x+7
Let 3x+7 be u
We know that 56+u=90 so solve for u
u=90-56
u = 34
Now u = 3x + 7 so,
3x + 7 = 34
solve for x,
3x=34-7
3x=27
x=27/3
x=9.
The slope is 7/6.
Hope it helps .
Answer:
D brainliest?
Step-by-step explanation:
Answer:
a) 70 degrees
b) 110 degrees
Step-by-step explanation:
Freezing point of water is 32 degrees.
Boiling point of water is 212 degrees.
Hope this helped :)