Angle qrs is a straight angle. the measure of < 2 is 60 degrees more than the measure of
< 1.
what is the measure of < 1?

Let the Measure of  ∠1 =x°

Also, Measure of ∠2=60° more than ∠1

⇒ ∠2=60° +x

It is given that ∠QRS , is a Straight Angle.

⇒ ∠1 + ∠2=180°

⇒ x+60°+x=180°

⇒2x=180°-60°

⇒2x=120°

Dividing both side by , 2 we get

x=60°

So, ∠1=60°

∠2=60°+60°=120°

20% robability that the tourist will be able to talk with a randomly encountered resident of the region, given that the resident speaks German

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem, we have that:

Event A: Speaking German

Event B: Speaking English

3% speak both English and German

This means that

15% speak German

This means that

So

20% robability that the tourist will be able to talk with a randomly encountered resident of the region, given that the resident speaks German