TQRS is an inscribed quadrilateral.
5 x - 52° + 3 x + 40° = 180°
8 x - 12° = 180°
8 x = 180° + 12°
8 x = 192°
x = 192° : 8 = 24°
m∠ R = 3 · 24° + 40° = 112°
m∠ T = 5 · 24° - 52° = 68°
m∠ S = 360° - ( 68° + 68° + 112° ) = 112°
Answer:
m∠R, m∠S, m∠T = 112°, 112°, 68°.
Answer:
4(2x + 3) - x = 7x + 12
Explanation:
That's what T4L/Edge said
Answer:
<h2>x = 60°, y = 50°</h2>
Step-by-step explanation:
We know: the angles measures in a triangle add up to 180°.
<em>(look at the picture)</em>
z + 50 + 60 = 180
z + 110 = 180 <em>subtract 110 from both sides</em>
z = 70°
x + 50 + 70 = 180
x + 120 = 180 <em>subtract 120 from both sides</em>
x = 60°
Angles x, y and z are on one side of a straight line. Therefore they add to 180°.
x + y + z = 180
60 + y + 70 = 180
y + 130 = 180 <em>subtract 130 from both sides</em>
y = 50°