Answer:
15°
Step-by-step explanation:
Since P is on the median of ΔABC, it is equidistant from points B and C as well as from C and Q. Thus, points B, C, and Q all lie on a circle centered at P. (See the attached diagram.)
The base angles (B and C) of triangle ABC are (180° -30°)/2 = 75°. This means arc QC of the circle centered at P has measure 150°. The diameter of circle P that includes point Q is defined to intersect circle P at R.
Central angle RPC is the difference between arcs QR and QC, so is 180° -150° = 30°. Inscribed angle RQC has half that measure, so is 15°. Angle PQC has the same measure as angle RQC, so is 15°.
Angle PQC is 15°.
Answer:
Algae
Step-by-step explanation:
I just know this I don't know if an explanation is needed..
M = 4/5 I hope this helps you!
Answer:
y = x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 2. 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = = = 1
the line crosses the y- axis at (0, 2 ) ⇒ c = 2
y = x + 2 ← equation of line
1. is m∠4=m∠5 by the alternate interior angle theorem.
2. Angles 4 & 3 are supplementary angles or linear pair and so they have to equal 180 and 180 - 85= 95 3 & 5 are corresponding angles so 95 should be your answer.