Answer:
y = 30
z = 115
Step-by-step explanation:
z° + 65° = 180°
(Exterior Angles on the same side of transversal)
z° = 180° - 65°
z° = 115°
z = 115
(5y - 85)° + z° = 180°
(Linear pair angles)
(5y - 85)° + 115° = 180°
(5y - 85)° = 180° - 115°
(5y - 85)° = 65°
5y - 85 = 65
5y = 65 + 85
5y = 150
y = 150/5
y = 30
9514 1404 393
Answer:
48°
Step-by-step explanation:
ΔACB is isosceles, so angles A and B have the same measure. The measure of angle C in that triangle is ...
∠C = 180° -2(69°) = 42°
Angle C in ΔCDE has the same measure. Angle D is the complement of that:
∠D = 90° -42° = 48°
_____
The relations we used are ...
- the sum of angles in a triangle is 180°
- base angles of an isosceles triangle are congruent
- vertical angles are congruent
- acute angles in a right triangle are complementary
Answer:
X=9 Y= 3
Step-by-step explanation:
