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Morgarella [4.7K]
3 years ago
10

Rendi akan membuat kartu anggota taman bacaannya berbentuk setengah lingkaran. Jika

Mathematics
1 answer:
Rainbow [258]3 years ago
6 0
Sorry don’t speak your language
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In the figure above, PQRS is a circle. If PQT and SRT<br>are straight lines, find the value of x.
Elena L [17]

Given:

PQRS is a circle, PQT and SRT  are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT  are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

m\angle SPQ+m\angle QRS=180^\circ

81^\circ+m\angle QRS=180^\circ

m\angle QRS=180^\circ-81^\circ

m\angle QRS=99^\circ

Now, SRT  is a straight line.

m\angle QRT+m\angle QRS=180^\circ             (Linear pair)

m\angle QRT+99^\circ=180^\circ

m\angle QRT=180^\circ-99^\circ

m\angle QRT=81^\circ               ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

m\angle PQR=m\angle QRT+m\angle QTR

x=81^\circ+22^\circ

x=103^\circ

Therefore, the value of x is 103 degrees.

4 0
3 years ago
Can someone please help me?
miss Akunina [59]

Answer:

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Step-by-step explanation:

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3 years ago
Are points B, J, and C collinear or noncollinear?
adoni [48]
I’m pretty sure they’re collinear. I’m so sorry if I’m wrong.
4 0
3 years ago
I don't care for an explanation PLEASE JUST HELP!!! It would mean a lot !!!! Thanks
Westkost [7]
What is it maybe i can help?

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3 years ago
Find the angle sum of the irregular polygon using the formula S= 180(n-2).
lesya [120]

Answer:

  720°

Step-by-step explanation:

The "n" in the formula refers to the number of sides. The polygon shown has 6 sides, so the sum of interior angles is ...

  S = 180°(6 -2) = 720°

7 0
3 years ago
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