Question

Help with these questions!! I need help! I will mark brainliest!!

Answer 1

Answer: I believe it's 85° i have no explanation and am sorry if it's wrong x

Step-by-step explanation:

Answer 2

Answer:

Question 1.  Option (3) RT = 35°

Question 2. Option (3) y = 2

Step-by-step explanation:

By the definition of external angle, ∠PSY is the external angle formed by the secants PS and YS.

From the attached diagram.

Theorem says,

m(∠a) = $\frac{1}{2}(\frac{y-x}{2})$°

Now we will apply this theorem in our question.

m(∠PSY) = 180° - [m(∠SMX) + m(∠MXS)]

               = 180° - (95° + 45°)

               = 180° - 140°

               = 40°

Since m(∠PSY) = $\frac{1}{2}[m(arcPY)-m(arcRT)]$ [By the theorem]

m(arc PY) = m(arc PW) + m(arc WY)

               = (80 + 35)°

               = 115°

Now m(∠PSY) = $\frac{1}{2}[115-RT]$

40° = $\frac{1}{2}(115-RT)$°

80 = 115 - RT

RT = 115 - 80

RT = 35°

Therefore, Option (3). RT = 35° is the answer.

Question 2.

By the theorem, every angle at the circumference of a semicircle, that is subtended by the diameter of the semicircle is a right angle.

Therefore, (53y - 16)° = 90°

53y = 90 + 16

53y = 106

y = 2

Therefore, Option (3). y = 2 is the answer.