Question

PQRS is isoceles trapezium side PQllSide SR and triangle RQE is an equilateral trangle. Find measures of all angles of the trapeziun ​

Answer 1

Answer:

1m by 4 m 8 m

Step-by-step explanation:

mark me brainlest i mark you brainlest

Answer 2

Step-by-step explanation:

In equilateral ▲ ERQ,

<REQ = <EQR = <QRE=60°

Given PQ || SR,

let RQ be the transversal

then

<SRQ + <RQP-180° {Sum of Interior corresponding angles = 180°}

So we get

<SRQ = 180-60-120° {<RQ= <EQR = 60°}

We know that in a isosceles trapezium base angles are equal.

So <SPQ = <RQP = 60°

Given PQ || SR,

let SP be the transversal

then

<RSP + <SPQ = 180° {Sum of Interior corresponding angles = 180°}

So we get

<RSP = 180°-60° = 120°

:. The measures of the trapezium are: <RSP= 120°, <SRQ = 120°, <RQP = 60°, <QPS= 60°